diff --git a/libs/core/langchain_core/runnables/base.py b/libs/core/langchain_core/runnables/base.py
index 4950302777f..fc7717e8547 100644
--- a/libs/core/langchain_core/runnables/base.py
+++ b/libs/core/langchain_core/runnables/base.py
@@ -1878,7 +1878,7 @@ class Runnable(Generic[Input, Output], ABC):
                                 final_output_supported = False
                     else:
                         final_output = chunk
-            except StopIteration:
+            except (StopIteration, GeneratorExit):
                 pass
             for ichunk in input_for_tracing:
                 if final_input_supported:
@@ -1892,8 +1892,6 @@ class Runnable(Generic[Input, Output], ABC):
                             final_input_supported = False
                 else:
                     final_input = ichunk
-        except GeneratorExit:
-            run_manager.on_chain_end(final_output, inputs=final_input)
         except BaseException as e:
             run_manager.on_chain_error(e, inputs=final_input)
             raise
diff --git a/libs/core/tests/unit_tests/runnables/test_runnable.py b/libs/core/tests/unit_tests/runnables/test_runnable.py
index 7f06928f4f2..5861b0fc1ab 100644
--- a/libs/core/tests/unit_tests/runnables/test_runnable.py
+++ b/libs/core/tests/unit_tests/runnables/test_runnable.py
@@ -5706,3 +5706,39 @@ async def test_listeners_async() -> None:
     assert len(shared_state) == 2
     assert value1 in shared_state.values(), "Value not found in the dictionary."
     assert value2 in shared_state.values(), "Value not found in the dictionary."
+
+
+async def test_closing_iterator_doesnt_raise_error() -> None:
+    """Test that closing an iterator calls on_chain_end rather than on_chain_error."""
+    import time
+
+    from langchain_core.callbacks import BaseCallbackHandler
+    from langchain_core.language_models.fake_chat_models import GenericFakeChatModel
+    from langchain_core.output_parsers import StrOutputParser
+
+    on_chain_error_triggered = False
+
+    class MyHandler(BaseCallbackHandler):
+        async def on_chain_error(
+            self,
+            error: BaseException,
+            *,
+            run_id: UUID,
+            parent_run_id: Optional[UUID] = None,
+            tags: Optional[List[str]] = None,
+            **kwargs: Any,
+        ) -> None:
+            """Run when chain errors."""
+            nonlocal on_chain_error_triggered
+            on_chain_error_triggered = True
+
+    llm = GenericFakeChatModel(messages=iter(["hi there"]))
+    chain = llm | StrOutputParser()
+    chain_ = chain.with_config({"callbacks": [MyHandler()]})
+    st = chain_.stream("hello")
+    next(st)
+    # This is a generator so close is defined on it.
+    st.close()  # type: ignore
+    # Wait for a bit to make sure that the callback is called.
+    time.sleep(0.05)
+    assert on_chain_error_triggered is False