diff --git a/jax_triton/triton_lib.py b/jax_triton/triton_lib.py
index ea201d7..c2e6f85 100644
--- a/jax_triton/triton_lib.py
+++ b/jax_triton/triton_lib.py
@@ -38,6 +38,8 @@
 from jax._src.lib.mlir import ir
 import jax.dlpack
 import jax.extend as jex
+from jax.interpreters import ad
+from jax.interpreters import batching
 from jax.interpreters import mlir
 from jax.interpreters import xla
 import jax.numpy as jnp
@@ -675,6 +677,31 @@ def prune_configs(configs, named_args, **kwargs):
     platform="rocm",
 )
 
+
+def triton_kernel_call_raise_on_jvp(*args, **kwargs):
+  del args, kwargs  # unused
+  raise NotImplementedError(
+      "jax_triton.triton_call does not support automatic differentiation. Use "
+      "jax.custom_jvp or jax.custom_vjp to implement a custom automatic "
+      "differentiation rule for your kernel."
+  )
+
+ad.primitive_jvps[triton_kernel_call_p] = triton_kernel_call_raise_on_jvp
+
+
+def triton_kernel_call_raise_on_vmap(*args, **kwargs):
+  del args, kwargs  # unused
+  raise NotImplementedError(
+      "jax_triton.triton_call does not support batching with jax.vmap. Use "
+      "jax.custom_batching.custom_vmap to implement a custom batching rule for "
+      "your kernel."
+  )
+
+batching.primitive_batchers[triton_kernel_call_p] = (
+    triton_kernel_call_raise_on_vmap
+)
+
+
 class ShapeDtype(Protocol):
 
   @property
diff --git a/tests/triton_call_test.py b/tests/triton_call_test.py
index a1dfd78..239b090 100644
--- a/tests/triton_call_test.py
+++ b/tests/triton_call_test.py
@@ -531,6 +531,24 @@ def test_autotune_with_input_output_aliasing(self):
     out = add(x, y, kernel=kernel, input_output_aliases={0: 0})
     np.testing.assert_allclose(out, expected)
 
+  def test_autodiff_exception(self):
+    x, y = create_random_inputs([10, 100], dtype="float32")
+    with self.assertRaisesRegex(
+        NotImplementedError,
+        r"jax_triton.triton_call does not support automatic differentiation.*"
+        r"jax\.custom_jvp or jax\.custom_vjp.*",
+    ):
+      jax.grad(lambda x, y: jnp.sum(add(x, y, BLOCK_SIZE=32)))(x, y)
+
+  def test_batching_exception(self):
+    x, y = create_random_inputs([10, 100], dtype="float32")
+    with self.assertRaisesRegex(
+        NotImplementedError,
+        r"jax_triton.triton_call does not support batching.*"
+        r"jax\.custom_batching\.custom_vmap.*",
+    ):
+      jax.vmap(lambda x, y: add(x, y, BLOCK_SIZE=32))(x, y)
+
 
 if __name__ == "__main__":
   os.environ["XLA_PYTHON_CLIENT_MEM_FRACTION"] = "0.5"