diff --git a/jax_triton/triton_lib.py b/jax_triton/triton_lib.py
index 1cfe378..7e829c3 100644
--- a/jax_triton/triton_lib.py
+++ b/jax_triton/triton_lib.py
@@ -239,6 +239,8 @@ def get_or_create_triton_kernel(
   # general.
   device = 0
   arch = triton_kernel_call_lib.get_compute_capability(device)
+  if num_ctas > 1 and arch < 90:
+    raise ValueError("num_ctas > 1 unsupported before Hopper.")
   if num_stages is None:
     num_stages = 3
 
@@ -473,10 +475,6 @@ def prune_configs(configs, named_args):
             triton_kernel_call_lib.create_scalar_parameter(arg, dtype)
         )
 
-    # TODO(cjfj): Add support for `num_ctas` in kernel launch code.
-    if num_ctas != 1:
-      raise ValueError("`num_ctas != 1` is not yet supported.")
-
     kernel_calls.append(
         triton_kernel_call_lib.TritonKernelCall(
             kernel,
diff --git a/tests/cluster_test.py b/tests/cluster_test.py
new file mode 100644
index 0000000..19a8f15
--- /dev/null
+++ b/tests/cluster_test.py
@@ -0,0 +1,88 @@
+# Copyright 2024 The jax_triton Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+"""H100 clustering tests."""
+
+import functools
+import math
+from unittest import mock
+
+from absl.testing import absltest
+from absl.testing import parameterized
+import jax
+import jax.numpy as jnp
+import jax_triton as jt
+import triton
+import triton.language as tl
+
+
+def _dummy_fn(x):
+  assert x.size % 4 == 0
+
+  @triton.jit
+  def dummy_kernel(x_ptr, o_ptr):
+    offs = tl.program_id(axis=0) * 4 + tl.arange(0, 4)
+    tl.store(o_ptr + offs, tl.load(x_ptr + offs))
+
+  return jt.triton_call(x, kernel=dummy_kernel, out_shape=x, grid=(x.size // 4))
+
+
+class ClusterTest(parameterized.TestCase):
+
+  @parameterized.parameters(1, 2, 3, 4, 8)
+  def test_cluster(self, num_ctas):
+    if 'h100' not in jax.devices()[0].device_kind.lower():
+      self.skipTest('Clusters available only on H100s.')
+
+    cluster_dims = []
+    original_compile_ttir_to_ptx_fn = jt.triton_lib.compile_ttir_to_ptx_inplace
+
+    def my_compile_ttir_to_ptx(*args, **kwargs):
+      nonlocal cluster_dims, original_compile_ttir_to_ptx_fn
+      ret_args = original_compile_ttir_to_ptx_fn(*args, **kwargs)
+      cluster_dims = ret_args[-1]
+      return ret_args
+
+    my_triton_call = functools.partial(jt.triton_call, num_ctas=num_ctas)
+
+    with mock.patch.object(jt, 'triton_call', my_triton_call):
+      with mock.patch.object(
+          jt.triton_lib, 'compile_ttir_to_ptx_inplace', my_compile_ttir_to_ptx
+      ):
+        _dummy_fn(jnp.empty((16,)))
+        self.assertEqual(math.prod(cluster_dims), num_ctas)
+
+  def test_invalid_cluster_size(self):
+    if 'h100' not in jax.devices()[0].device_kind.lower():
+      self.skipTest('Clusters available on H100s.')
+
+    my_triton_call = functools.partial(jt.triton_call, num_ctas=9)
+
+    with mock.patch.object(jt, 'triton_call', my_triton_call):
+      with self.assertRaises(Exception):
+        _dummy_fn(jnp.empty((16,)))
+
+  def test_cluster_not_available(self):
+    if 'h100' in jax.devices()[0].device_kind.lower():
+      self.skipTest('Clusters available only on H100s.')
+
+    my_triton_call = functools.partial(jt.triton_call, num_ctas=2)
+
+    with mock.patch.object(jt, 'triton_call', my_triton_call):
+      with self.assertRaises(ValueError):
+        _dummy_fn(jnp.empty((16,)))
+
+
+if __name__ == '__main__':
+  absltest.main()