diff --git a/qiskit/primitives/utils.py b/qiskit/primitives/utils.py
index 64ed562f2e..f93e22f98a 100644
--- a/qiskit/primitives/utils.py
+++ b/qiskit/primitives/utils.py
@@ -12,9 +12,10 @@
 """
 Utility functions for primitives
 """
-
 from __future__ import annotations
 
+import numpy as np
+
 from qiskit.circuit import Instruction, ParameterExpression, QuantumCircuit
 from qiskit.circuit.bit import Bit
 from qiskit.extensions.quantum_initializer.initializer import Initialize
@@ -146,7 +147,10 @@ def _circuit_key(circuit: QuantumCircuit, functional: bool = True) -> tuple:
                 _bits_key(data.qubits, circuit),  # qubits
                 _bits_key(data.clbits, circuit),  # clbits
                 data.operation.name,  # operation.name
-                tuple(data.operation.params),  # operation.params
+                tuple(
+                    param.data.tobytes() if isinstance(param, np.ndarray) else param
+                    for param in data.operation.params
+                ),  # operation.params
             )
             for data in circuit.data
         ),
diff --git a/releasenotes/notes/fix-primitives-numpy-parameters-1589d997864dfb37.yaml b/releasenotes/notes/fix-primitives-numpy-parameters-1589d997864dfb37.yaml
new file mode 100644
index 0000000000..dccfef915d
--- /dev/null
+++ b/releasenotes/notes/fix-primitives-numpy-parameters-1589d997864dfb37.yaml
@@ -0,0 +1,5 @@
+---
+fixes:
+  - |
+    Fixed the problem in which primitives did not work when passing a circuit with ``numpy.ndarray``
+    as a parameter.
diff --git a/test/python/primitives/test_sampler.py b/test/python/primitives/test_sampler.py
index c7a3b4915b..2c526facf5 100644
--- a/test/python/primitives/test_sampler.py
+++ b/test/python/primitives/test_sampler.py
@@ -22,6 +22,7 @@ from qiskit import QuantumCircuit, pulse, transpile
 from qiskit.circuit import Parameter
 from qiskit.circuit.library import RealAmplitudes
 from qiskit.exceptions import QiskitError
+from qiskit.extensions.unitary import UnitaryGate
 from qiskit.primitives import Sampler, SamplerResult
 from qiskit.primitives.utils import _circuit_key
 from qiskit.providers import JobStatus, JobV1
@@ -770,6 +771,18 @@ class TestSampler(QiskitTestCase):
             keys = [_circuit_key(test_with_scheduling(i)) for i in range(1, 5)]
             self.assertEqual(len(keys), len(set(keys)))
 
+    def test_circuit_with_unitary(self):
+        """Test for circuit with unitary gate."""
+        gate = UnitaryGate(np.eye(2))
+
+        circuit = QuantumCircuit(1)
+        circuit.append(gate, [0])
+        circuit.measure_all()
+
+        sampler = Sampler()
+        sampler_result = sampler.run([circuit]).result()
+        self.assertDictAlmostEqual(sampler_result.quasi_dists[0], {0: 1, 1: 0})
+
 
 if __name__ == "__main__":
     unittest.main()