diff --git a/src/main/java/com/fasterxml/jackson/core/JsonStreamContext.java b/src/main/java/com/fasterxml/jackson/core/JsonStreamContext.java
index 9fbc166177..03720fef41 100644
--- a/src/main/java/com/fasterxml/jackson/core/JsonStreamContext.java
+++ b/src/main/java/com/fasterxml/jackson/core/JsonStreamContext.java
@@ -52,6 +52,12 @@ public abstract class JsonStreamContext
      */
     protected int _index;
 
+    /**
+     * The nesting depth is a count of objects and arrays that have not
+     * been closed, `{` and `[` respectively.
+     */
+    protected int _nestingDepth;
+
     /*
     /**********************************************************
     /* Life-cycle
@@ -118,6 +124,14 @@ protected JsonStreamContext(int type, int index) {
      */
     public final boolean inObject() { return _type == TYPE_OBJECT; }
 
+    /**
+     * The nesting depth is a count of objects and arrays that have not
+     * been closed, `{` and `[` respectively.
+     */
+    public final int getNestingDepth() {
+        return _nestingDepth;
+    }
+
     /**
      * @return Type description String
      *
diff --git a/src/main/java/com/fasterxml/jackson/core/StreamReadConstraints.java b/src/main/java/com/fasterxml/jackson/core/StreamReadConstraints.java
index e6b2cc5a15..2363c38dd0 100644
--- a/src/main/java/com/fasterxml/jackson/core/StreamReadConstraints.java
+++ b/src/main/java/com/fasterxml/jackson/core/StreamReadConstraints.java
@@ -25,6 +25,11 @@ public class StreamReadConstraints
 {
     private static final long serialVersionUID = 1L;
 
+    /**
+     * Default setting for maximum depth: see {@link Builder#maxNestingDepth(int)} for details.
+     */
+    public static final int DEFAULT_MAX_DEPTH = 1000;
+
     /**
      * Default setting for maximum number length: see {@link Builder#maxNumberLength(int)} for details.
      */
@@ -35,16 +40,37 @@ public class StreamReadConstraints
      */
     public static final int DEFAULT_MAX_STRING_LEN = 1_000_000;
 
+    protected final int _maxNestingDepth;
     protected final int _maxNumLen;
     protected final int _maxStringLen;
 
     private static final StreamReadConstraints DEFAULT =
-        new StreamReadConstraints(DEFAULT_MAX_NUM_LEN, DEFAULT_MAX_STRING_LEN);
+        new StreamReadConstraints(DEFAULT_MAX_DEPTH, DEFAULT_MAX_NUM_LEN, DEFAULT_MAX_STRING_LEN);
 
     public static final class Builder {
+        private int maxNestingDepth;
         private int maxNumLen;
         private int maxStringLen;
 
+        /**
+         * Sets the maximum nesting depth. The depth is a count of objects and arrays that have not
+         * been closed, `{` and `[` respectively.
+         *
+         * @param maxNestingDepth the maximum depth
+         *
+         * @return this builder
+         * @throws IllegalArgumentException if the maxNestingDepth is set to a negative value
+         *
+         * @since 2.15
+         */
+        public Builder maxNestingDepth(final int maxNestingDepth) {
+            if (maxNestingDepth < 0) {
+                throw new IllegalArgumentException("Cannot set maxNestingDepth to a negative value");
+            }
+            this.maxNestingDepth = maxNestingDepth;
+            return this;
+        }
+
         /**
          * Sets the maximum number length (in chars or bytes, depending on input context).
          * The default is 1000.
@@ -90,21 +116,23 @@ public Builder maxStringLength(final int maxStringLen) {
         }
 
         Builder() {
-            this(DEFAULT_MAX_NUM_LEN, DEFAULT_MAX_STRING_LEN);
+            this(DEFAULT_MAX_DEPTH, DEFAULT_MAX_NUM_LEN, DEFAULT_MAX_STRING_LEN);
         }
 
-        Builder(final int maxNumLen, final int maxStringLen) {
+        Builder(final int maxNestingDepth, final int maxNumLen, final int maxStringLen) {
+            this.maxNestingDepth = maxNestingDepth;
             this.maxNumLen = maxNumLen;
             this.maxStringLen = maxStringLen;
         }
 
         Builder(StreamReadConstraints src) {
+            maxNestingDepth = src._maxNestingDepth;
             maxNumLen = src._maxNumLen;
             maxStringLen = src._maxStringLen;
         }
 
         public StreamReadConstraints build() {
-            return new StreamReadConstraints(maxNumLen, maxStringLen);
+            return new StreamReadConstraints(maxNestingDepth, maxNumLen, maxStringLen);
         }
     }
 
@@ -114,7 +142,8 @@ public StreamReadConstraints build() {
     /**********************************************************************
      */
 
-    StreamReadConstraints(final int maxNumLen, final int maxStringLen) {
+    StreamReadConstraints(final int maxNestingDepth, final int maxNumLen, final int maxStringLen) {
+        _maxNestingDepth = maxNestingDepth;
         _maxNumLen = maxNumLen;
         _maxStringLen = maxStringLen;
     }
@@ -141,6 +170,16 @@ public Builder rebuild() {
     /**********************************************************************
      */
 
+    /**
+     * Accessor for maximum depth.
+     * see {@link Builder#maxNestingDepth(int)} for details.
+     *
+     * @return Maximum allowed depth
+     */
+    public int getMaxNestingDepth() {
+        return _maxNestingDepth;
+    }
+
     /**
      * Accessor for maximum length of numbers to decode.
      * see {@link Builder#maxNumberLength(int)} for details.
@@ -169,7 +208,7 @@ public int getMaxStringLength() {
 
     /**
      * Convenience method that can be used to verify that a floating-point
-     * number of specified length does not exceed maximum specific by this
+     * number of specified length does not exceed maximum specified by this
      * constraints object: if it does, a
      * {@link StreamConstraintsException}
      * is thrown.
@@ -223,4 +262,23 @@ public void validateStringLength(int length) throws StreamConstraintsException
                     length, _maxStringLen));
         }
     }
+
+    /**
+     * Convenience method that can be used to verify that the
+     * nesting depth does not exceed the maximum specified by this
+     * constraints object: if it does, a
+     * {@link StreamConstraintsException}
+     * is thrown.
+     *
+     * @param depth count of unclosed objects and arrays
+     *
+     * @throws StreamConstraintsException If depth exceeds maximum
+     */
+    public void validateNestingDepth(int depth) throws StreamConstraintsException
+    {
+        if (depth > _maxNestingDepth) {
+            throw new StreamConstraintsException(String.format("Depth (%d) exceeds the maximum allowed nesting depth (%d)",
+                    depth, _maxNestingDepth));
+        }
+    }
 }
diff --git a/src/main/java/com/fasterxml/jackson/core/base/ParserBase.java b/src/main/java/com/fasterxml/jackson/core/base/ParserBase.java
index 8af2565793..41ea412f81 100644
--- a/src/main/java/com/fasterxml/jackson/core/base/ParserBase.java
+++ b/src/main/java/com/fasterxml/jackson/core/base/ParserBase.java
@@ -1536,4 +1536,14 @@ protected void loadMoreGuaranteed() throws IOException {
 
     // Can't declare as deprecated, for now, but shouldn't be needed
     protected void _finishString() throws IOException { }
+
+    protected final void createChildArrayContext(final int lineNr, final int colNr) throws IOException {
+        _parsingContext = _parsingContext.createChildArrayContext(lineNr, colNr);
+        _streamReadConstraints.validateNestingDepth(_parsingContext.getNestingDepth());
+    }
+
+    protected final void createChildObjectContext(final int lineNr, final int colNr) throws IOException {
+        _parsingContext = _parsingContext.createChildObjectContext(lineNr, colNr);
+        _streamReadConstraints.validateNestingDepth(_parsingContext.getNestingDepth());
+    }
 }
diff --git a/src/main/java/com/fasterxml/jackson/core/json/JsonReadContext.java b/src/main/java/com/fasterxml/jackson/core/json/JsonReadContext.java
index 576fefbf82..e2f95a7acf 100644
--- a/src/main/java/com/fasterxml/jackson/core/json/JsonReadContext.java
+++ b/src/main/java/com/fasterxml/jackson/core/json/JsonReadContext.java
@@ -61,6 +61,7 @@ public JsonReadContext(JsonReadContext parent, DupDetector dups, int type, int l
         _lineNr = lineNr;
         _columnNr = colNr;
         _index = -1;
+        _nestingDepth = parent == null ? 0 : parent._nestingDepth + 1;
     }
 
     /**
diff --git a/src/main/java/com/fasterxml/jackson/core/json/ReaderBasedJsonParser.java b/src/main/java/com/fasterxml/jackson/core/json/ReaderBasedJsonParser.java
index 232843ac81..ccbfa7d2fe 100644
--- a/src/main/java/com/fasterxml/jackson/core/json/ReaderBasedJsonParser.java
+++ b/src/main/java/com/fasterxml/jackson/core/json/ReaderBasedJsonParser.java
@@ -752,13 +752,13 @@ public final JsonToken nextToken() throws IOException
             break;
         case '[':
             if (!inObject) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             }
             t = JsonToken.START_ARRAY;
             break;
         case '{':
             if (!inObject) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             t = JsonToken.START_OBJECT;
             break;
@@ -817,7 +817,7 @@ public final JsonToken nextToken() throws IOException
         return t;
     }
 
-    private final JsonToken _nextAfterName()
+    private final JsonToken _nextAfterName() throws IOException
     {
         _nameCopied = false; // need to invalidate if it was copied
         JsonToken t = _nextToken;
@@ -827,9 +827,9 @@ private final JsonToken _nextAfterName()
 
         // Also: may need to start new context?
         if (t == JsonToken.START_ARRAY) {
-            _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+            createChildArrayContext(_tokenInputRow, _tokenInputCol);
         } else if (t == JsonToken.START_OBJECT) {
-            _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+            createChildObjectContext(_tokenInputRow, _tokenInputCol);
         }
         return (_currToken = t);
     }
@@ -1165,10 +1165,10 @@ private final JsonToken _nextTokenNotInObject(int i) throws IOException
         }
         switch (i) {
         case '[':
-            _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+            createChildArrayContext(_tokenInputRow, _tokenInputCol);
             return (_currToken = JsonToken.START_ARRAY);
         case '{':
-            _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+            createChildObjectContext(_tokenInputRow, _tokenInputCol);
             return (_currToken = JsonToken.START_OBJECT);
         case 't':
             _matchToken("true", 1);
@@ -1235,9 +1235,9 @@ public final String nextTextValue() throws IOException
                 return _textBuffer.contentsAsString();
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return null;
         }
@@ -1258,9 +1258,9 @@ public final int nextIntValue(int defaultValue) throws IOException
                 return getIntValue();
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return defaultValue;
         }
@@ -1281,9 +1281,9 @@ public final long nextLongValue(long defaultValue) throws IOException
                 return getLongValue();
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return defaultValue;
         }
@@ -1307,9 +1307,9 @@ public final Boolean nextBooleanValue() throws IOException
                 return Boolean.FALSE;
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return null;
         }
diff --git a/src/main/java/com/fasterxml/jackson/core/json/UTF8DataInputJsonParser.java b/src/main/java/com/fasterxml/jackson/core/json/UTF8DataInputJsonParser.java
index cee350da3a..6d93fab588 100644
--- a/src/main/java/com/fasterxml/jackson/core/json/UTF8DataInputJsonParser.java
+++ b/src/main/java/com/fasterxml/jackson/core/json/UTF8DataInputJsonParser.java
@@ -716,10 +716,10 @@ private final JsonToken _nextTokenNotInObject(int i) throws IOException
         }
         switch (i) {
         case '[':
-            _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+            createChildArrayContext(_tokenInputRow, _tokenInputCol);
             return (_currToken = JsonToken.START_ARRAY);
         case '{':
-            _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+            createChildObjectContext(_tokenInputRow, _tokenInputCol);
             return (_currToken = JsonToken.START_OBJECT);
         case 't':
             _matchToken("true", 1);
@@ -754,7 +754,7 @@ private final JsonToken _nextTokenNotInObject(int i) throws IOException
         return (_currToken = _handleUnexpectedValue(i));
     }
 
-    private final JsonToken _nextAfterName()
+    private final JsonToken _nextAfterName() throws IOException
     {
         _nameCopied = false; // need to invalidate if it was copied
         JsonToken t = _nextToken;
@@ -762,9 +762,9 @@ private final JsonToken _nextAfterName()
 
         // Also: may need to start new context?
         if (t == JsonToken.START_ARRAY) {
-            _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+            createChildArrayContext(_tokenInputRow, _tokenInputCol);
         } else if (t == JsonToken.START_OBJECT) {
-            _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+            createChildObjectContext(_tokenInputRow, _tokenInputCol);
         }
         return (_currToken = t);
     }
@@ -908,9 +908,9 @@ public String nextTextValue() throws IOException
                 return _textBuffer.contentsAsString();
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return null;
         }
@@ -930,9 +930,9 @@ public int nextIntValue(int defaultValue) throws IOException
                 return getIntValue();
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return defaultValue;
         }
@@ -952,9 +952,9 @@ public long nextLongValue(long defaultValue) throws IOException
                 return getLongValue();
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return defaultValue;
         }
@@ -977,9 +977,9 @@ public Boolean nextBooleanValue() throws IOException
                 return Boolean.FALSE;
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return null;
         }
diff --git a/src/main/java/com/fasterxml/jackson/core/json/UTF8StreamJsonParser.java b/src/main/java/com/fasterxml/jackson/core/json/UTF8StreamJsonParser.java
index a7c08dae53..2cea491bf5 100644
--- a/src/main/java/com/fasterxml/jackson/core/json/UTF8StreamJsonParser.java
+++ b/src/main/java/com/fasterxml/jackson/core/json/UTF8StreamJsonParser.java
@@ -869,10 +869,10 @@ private final JsonToken _nextTokenNotInObject(int i) throws IOException
         }
         switch (i) {
         case '[':
-            _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+            createChildArrayContext(_tokenInputRow, _tokenInputCol);
             return (_currToken = JsonToken.START_ARRAY);
         case '{':
-            _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+            createChildObjectContext(_tokenInputRow, _tokenInputCol);
             return (_currToken = JsonToken.START_OBJECT);
         case 't':
             _matchTrue();
@@ -907,7 +907,7 @@ private final JsonToken _nextTokenNotInObject(int i) throws IOException
         return (_currToken = _handleUnexpectedValue(i));
     }
 
-    private final JsonToken _nextAfterName()
+    private final JsonToken _nextAfterName() throws IOException
     {
         _nameCopied = false; // need to invalidate if it was copied
         JsonToken t = _nextToken;
@@ -917,9 +917,9 @@ private final JsonToken _nextAfterName()
 
         // Also: may need to start new context?
         if (t == JsonToken.START_ARRAY) {
-            _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+            createChildArrayContext(_tokenInputRow, _tokenInputCol);
         } else if (t == JsonToken.START_OBJECT) {
-            _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+            createChildObjectContext(_tokenInputRow, _tokenInputCol);
         }
         return (_currToken = t);
     }
@@ -1334,9 +1334,9 @@ public String nextTextValue() throws IOException
                 return _textBuffer.contentsAsString();
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return null;
         }
@@ -1357,9 +1357,9 @@ public int nextIntValue(int defaultValue) throws IOException
                 return getIntValue();
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return defaultValue;
         }
@@ -1380,9 +1380,9 @@ public long nextLongValue(long defaultValue) throws IOException
                 return getLongValue();
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return defaultValue;
         }
@@ -1406,9 +1406,9 @@ public Boolean nextBooleanValue() throws IOException
                 return Boolean.FALSE;
             }
             if (t == JsonToken.START_ARRAY) {
-                _parsingContext = _parsingContext.createChildArrayContext(_tokenInputRow, _tokenInputCol);
+                createChildArrayContext(_tokenInputRow, _tokenInputCol);
             } else if (t == JsonToken.START_OBJECT) {
-                _parsingContext = _parsingContext.createChildObjectContext(_tokenInputRow, _tokenInputCol);
+                createChildObjectContext(_tokenInputRow, _tokenInputCol);
             }
             return null;
         }
diff --git a/src/main/java/com/fasterxml/jackson/core/json/async/NonBlockingJsonParserBase.java b/src/main/java/com/fasterxml/jackson/core/json/async/NonBlockingJsonParserBase.java
index 66e72abdcf..f37bb3fc7d 100644
--- a/src/main/java/com/fasterxml/jackson/core/json/async/NonBlockingJsonParserBase.java
+++ b/src/main/java/com/fasterxml/jackson/core/json/async/NonBlockingJsonParserBase.java
@@ -579,7 +579,7 @@ public Object getEmbeddedObject() throws IOException
 
     protected final JsonToken _startArrayScope() throws IOException
     {
-        _parsingContext = _parsingContext.createChildArrayContext(-1, -1);
+        createChildArrayContext(-1, -1);
         _majorState = MAJOR_ARRAY_ELEMENT_FIRST;
         _majorStateAfterValue = MAJOR_ARRAY_ELEMENT_NEXT;
         return (_currToken = JsonToken.START_ARRAY);
@@ -587,7 +587,7 @@ protected final JsonToken _startArrayScope() throws IOException
 
     protected final JsonToken _startObjectScope() throws IOException
     {
-        _parsingContext = _parsingContext.createChildObjectContext(-1, -1);
+        createChildObjectContext(-1, -1);
         _majorState = MAJOR_OBJECT_FIELD_FIRST;
         _majorStateAfterValue = MAJOR_OBJECT_FIELD_NEXT;
         return (_currToken = JsonToken.START_OBJECT);
diff --git a/src/test/java/com/fasterxml/jackson/core/fuzz/Fuzz34435ParseTest.java b/src/test/java/com/fasterxml/jackson/core/fuzz/Fuzz34435ParseTest.java
index e83cf3dc4c..d3689a525e 100644
--- a/src/test/java/com/fasterxml/jackson/core/fuzz/Fuzz34435ParseTest.java
+++ b/src/test/java/com/fasterxml/jackson/core/fuzz/Fuzz34435ParseTest.java
@@ -17,6 +17,7 @@ public void testFuzz34435ViaParser() throws Exception
                 .enable(JsonReadFeature.ALLOW_YAML_COMMENTS)
                 .enable(JsonReadFeature.ALLOW_SINGLE_QUOTES)
                 .enable(JsonReadFeature.ALLOW_UNQUOTED_FIELD_NAMES)
+                .streamReadConstraints(StreamReadConstraints.builder().maxNestingDepth(Integer.MAX_VALUE).build())
                 .build();
 
         JsonParser p = f.createParser(/*ObjectReadContext.empty(), */ DOC);
diff --git a/src/test/java/com/fasterxml/jackson/core/jsonptr/JsonPointerOOME736Test.java b/src/test/java/com/fasterxml/jackson/core/jsonptr/JsonPointerOOME736Test.java
index b4547bc5e8..d2f4e0bff0 100644
--- a/src/test/java/com/fasterxml/jackson/core/jsonptr/JsonPointerOOME736Test.java
+++ b/src/test/java/com/fasterxml/jackson/core/jsonptr/JsonPointerOOME736Test.java
@@ -10,7 +10,10 @@ public void testDeepJsonPointer() throws Exception {
         int MAX_DEPTH = 120_000;
         // Create nesting of 120k arrays
         String INPUT = new String(new char[MAX_DEPTH]).replace("\0", "[");
-        JsonParser parser = createParser(MODE_READER, INPUT);
+        final JsonFactory f = JsonFactory.builder()
+                .streamReadConstraints(StreamReadConstraints.builder().maxNestingDepth(Integer.MAX_VALUE).build())
+                .build();
+        JsonParser parser = createParser(f, MODE_READER, INPUT);
         try {
             while (true) {
                 parser.nextToken();
diff --git a/src/test/java/com/fasterxml/jackson/core/read/ArrayParsingTest.java b/src/test/java/com/fasterxml/jackson/core/read/ArrayParsingTest.java
index f7067e4198..98fe902349 100644
--- a/src/test/java/com/fasterxml/jackson/core/read/ArrayParsingTest.java
+++ b/src/test/java/com/fasterxml/jackson/core/read/ArrayParsingTest.java
@@ -1,6 +1,7 @@
 package com.fasterxml.jackson.core.read;
 
 import com.fasterxml.jackson.core.*;
+import com.fasterxml.jackson.core.exc.StreamConstraintsException;
 import com.fasterxml.jackson.core.json.JsonReadFeature;
 
 /**
@@ -106,6 +107,20 @@ public void testNotMissingValueByEnablingFeature() throws Exception
         _testNotMissingValueByEnablingFeature(false);
     }
 
+    public void testDeepNesting() throws Exception
+    {
+        final String DOC = createDeepNestedDoc(1050);
+        try (JsonParser jp = createParserUsingStream(new JsonFactory(), DOC, "UTF-8")) {
+            JsonToken jt;
+            while ((jt = jp.nextToken()) != null) {
+
+            }
+            fail("expected StreamConstraintsException");
+        } catch (StreamConstraintsException e) {
+            assertEquals("Depth (1001) exceeds the maximum allowed nesting depth (1000)", e.getMessage());
+        }
+    }
+
     private void _testMissingValueByEnablingFeature(boolean useStream) throws Exception {
         String DOC = "[ \"a\",,,,\"abc\", ] ";
 
@@ -182,4 +197,18 @@ private void _testNotMissingValueByEnablingFeature(boolean useStream) throws Exc
 
         jp.close();
     }
+
+    private String createDeepNestedDoc(final int depth) {
+        StringBuilder sb = new StringBuilder();
+        sb.append("[");
+        for (int i = 0; i < depth; i++) {
+            sb.append("{ \"a\": [");
+        }
+        sb.append(" \"val\" ");
+        for (int i = 0; i < depth; i++) {
+            sb.append("]}");
+        }
+        sb.append("]");
+        return sb.toString();
+    }
 }