diff --git a/fuzz/Cargo.toml b/fuzz/Cargo.toml
index 45f1a65..1605324 100644
--- a/fuzz/Cargo.toml
+++ b/fuzz/Cargo.toml
@@ -23,5 +23,11 @@ path = "fuzz_targets/streaming.rs"
 test = false
 doc = false
 
+[[bin]]
+name = "process"
+path = "fuzz_targets/process.rs"
+test = false
+doc = false
+
 # Work around https://github.com/rust-lang/cargo/issues/8338
 [workspace]
diff --git a/fuzz/fuzz_targets/process.rs b/fuzz/fuzz_targets/process.rs
new file mode 100644
index 0000000..9ae0a60
--- /dev/null
+++ b/fuzz/fuzz_targets/process.rs
@@ -0,0 +1,78 @@
+// The fuzzing harness fuzz test some of the the
+// unicode string normalization processing
+
+#![no_main]
+
+#[macro_use]
+extern crate libfuzzer_sys;
+extern crate unicode_normalization;
+
+use unicode_normalization::{
+    char::{
+        canonical_combining_class, compose, decompose_canonical, decompose_compatible,
+        is_combining_mark,
+    },
+    UnicodeNormalization,
+};
+
+fuzz_target!(|data: (u8, String)| {
+    let (function_index, string_data) = data;
+
+    // Create an iterator for characters
+    let mut chars = string_data.chars();
+
+    // Randomly fuzz a target function
+    match function_index % 10 {
+        0 => {
+            // Fuzz compose with two distinct characters
+            if let (Some(c1), Some(c2)) = (chars.next(), chars.next()) {
+                let _ = compose(c1, c2);
+            }
+        }
+        1 => {
+            // Fuzz canonical_combining_class
+            if let Some(c) = chars.next() {
+                let _ = canonical_combining_class(c);
+            }
+        }
+        2 => {
+            // Fuzz is_combining_mark
+            if let Some(c) = chars.next() {
+                let _ = is_combining_mark(c);
+            }
+        }
+        3 => {
+            // Fuzz NFC
+            let _ = string_data.nfc().collect::<String>();
+        }
+        4 => {
+            // Fuzz NFKD
+            let _ = string_data.nfkd().collect::<String>();
+        }
+        5 => {
+            // Fuzz NFD
+            let _ = string_data.nfd().collect::<String>();
+        }
+        6 => {
+            // Fuzz NFKC
+            let _ = string_data.nfkc().collect::<String>();
+        }
+        7 => {
+            // Fuzz stream_safe
+            let _ = string_data.stream_safe().collect::<String>();
+        }
+        8 => {
+            // Fuzz decompose_canonical
+            if let Some(c) = chars.next() {
+                decompose_canonical(c, |_| {});
+            }
+        }
+        9 => {
+            // Fuzz decompose_compatible
+            if let Some(c) = chars.next() {
+                decompose_compatible(c, |_| {});
+            }
+        }
+        _ => {}
+    }
+});