diff --git a/brainpy/_src/integrators/runner.py b/brainpy/_src/integrators/runner.py
index 35557b60..bf1ecb1f 100644
--- a/brainpy/_src/integrators/runner.py
+++ b/brainpy/_src/integrators/runner.py
@@ -318,8 +318,11 @@ def run(
     hists = self._run_fun_integration(args, dyn_args, times, indices)
     if eval_time:
       running_time = time.time() - t0
-    if self.progress_bar:
-      self._pbar.close()
+
+    # due to jax 0.4.32 enable the async dispatch(https://github.com/jax-ml/jax/blob/main/CHANGELOG.md#jax-0432-september-11-2024),
+    # we temporarily do not close the progress bar
+    # if self.progress_bar:
+    #   self._pbar.close()
 
     # post-running
     times += self.dt
diff --git a/brainpy/_src/runners.py b/brainpy/_src/runners.py
index 73cee508..d98bc58a 100644
--- a/brainpy/_src/runners.py
+++ b/brainpy/_src/runners.py
@@ -486,8 +486,11 @@ def predict(
       running_time = time.time() - t0
 
     # close the progress bar
-    if self.progress_bar:
-      self._pbar.close()
+
+    # due to jax 0.4.32 enable the async dispatch(https://github.com/jax-ml/jax/blob/main/CHANGELOG.md#jax-0432-september-11-2024),
+    # we temporarily do not close the progress bar
+    # if self.progress_bar:
+    #   self._pbar.close()
 
     # post-running for monitors
     if self._memory_efficient:
diff --git a/brainpy/_src/train/offline.py b/brainpy/_src/train/offline.py
index 36ed3c2b..53ff7e56 100644
--- a/brainpy/_src/train/offline.py
+++ b/brainpy/_src/train/offline.py
@@ -193,8 +193,11 @@ def fit(
     del monitor_data
 
     # close the progress bar
-    if self.progress_bar:
-      self._pbar.close()
+
+    # due to jax 0.4.32 enable the async dispatch(https://github.com/jax-ml/jax/blob/main/CHANGELOG.md#jax-0432-september-11-2024),
+    # we temporarily do not close the progress bar
+    # if self.progress_bar:
+    #   self._pbar.close()
 
     # final things
     for node in self.train_nodes:
diff --git a/brainpy/_src/train/online.py b/brainpy/_src/train/online.py
index d8e185c3..60799cb3 100644
--- a/brainpy/_src/train/online.py
+++ b/brainpy/_src/train/online.py
@@ -191,8 +191,11 @@ def fit(
     outs, hists = self._fit(indices, xs=xs, ys=ys, shared_args=shared_args)
 
     # close the progress bar
-    if self.progress_bar:
-      self._pbar.close()
+
+    # due to jax 0.4.32 enable the async dispatch(https://github.com/jax-ml/jax/blob/main/CHANGELOG.md#jax-0432-september-11-2024),
+    # we temporarily do not close the progress bar
+    # if self.progress_bar:
+    #   self._pbar.close()
 
     # post-running for monitors
     if self.numpy_mon_after_run: