diff --git a/numba_cuda/numba/cuda/tests/cudapy/test_complex.py b/numba_cuda/numba/cuda/tests/cudapy/test_complex.py
index 8348ca96e..0773964b0 100644
--- a/numba_cuda/numba/cuda/tests/cudapy/test_complex.py
+++ b/numba_cuda/numba/cuda/tests/cudapy/test_complex.py
@@ -8,7 +8,7 @@
 import numpy as np
 import pytest
 
-from numba.cuda.testing import unittest, CUDATestCase
+from numba.cuda.testing import unittest, CUDATestCase, skip_on_cudasim
 from numba.cuda import types
 from numba import cuda
 from numba.cuda import config
@@ -379,5 +379,62 @@ def atomic_add_one_j(values):
         np.testing.assert_equal(arr1 + 1j, arr2)
 
 
+# --- Basic CUDA complex number operation tests ---
+
+@cuda.jit
+def complex_add_kernel(a, b, out):
+    i = cuda.grid(1)
+    if i < out.size:
+        out[i] = a[i] + b[i]
+
+@cuda.jit
+def complex_mul_kernel(a, b, out):
+    i = cuda.grid(1)
+    if i < out.size:
+        out[i] = a[i] * b[i]
+
+@cuda.jit
+def complex_abs_kernel(inp, out):
+    i = cuda.grid(1)
+    if i < out.size:
+        out[i] = abs(inp[i])
+
+@skip_on_cudasim("Complex semantics differ under cudasim")
+class TestCudaComplexBasicOps(CUDATestCase):
+    def _launch_1d(self, kernel, args, size):
+        threadsperblock = 128
+        blockspergrid = (size + threadsperblock - 1) // threadsperblock
+        kernel[blockspergrid, threadsperblock](*args)
+        cuda.synchronize()
+
+    def test_complex_add(self):
+        a = np.array([1+2j, -3+4j, 5-6j], dtype=np.complex64)
+        b = np.array([2-1j, 4+3j, -5+6j], dtype=np.complex64)
+        out = np.zeros_like(a)
+        da = cuda.to_device(a)
+        db = cuda.to_device(b)
+        dout = cuda.to_device(out)
+        self._launch_1d(complex_add_kernel, (da, db, dout), a.size)
+        np.testing.assert_array_equal(dout.copy_to_host(), a + b)
+
+    def test_complex_multiply(self):
+        a = np.array([1+2j, -3+4j, 5-6j], dtype=np.complex64)
+        b = np.array([2-1j, 4+3j, -5+6j], dtype=np.complex64)
+        out = np.zeros_like(a)
+        da = cuda.to_device(a)
+        db = cuda.to_device(b)
+        dout = cuda.to_device(out)
+        self._launch_1d(complex_mul_kernel, (da, db, dout), a.size)
+        np.testing.assert_array_equal(dout.copy_to_host(), a * b)
+
+    def test_complex_abs(self):
+        inp = np.array([3+4j, 5-12j, -8+15j], dtype=np.complex64)
+        out = np.zeros(inp.size, dtype=np.float32)
+        dinp = cuda.to_device(inp)
+        dout = cuda.to_device(out)
+        self._launch_1d(complex_abs_kernel, (dinp, dout), inp.size)
+        np.testing.assert_allclose(dout.copy_to_host(), np.abs(inp), rtol=1e-6)
+
+
 if __name__ == "__main__":
     unittest.main()