diff --git a/sklearn/datasets/_samples_generator.py b/sklearn/datasets/_samples_generator.py
index a96cd458bb943..fca6907c6904b 100644
--- a/sklearn/datasets/_samples_generator.py
+++ b/sklearn/datasets/_samples_generator.py
@@ -1498,6 +1498,12 @@ def make_sparse_uncorrelated(n_samples=100, n_features=10, *, random_state=None)
     return X, y
 
 
+@validate_params(
+    {
+        "n_dim": [Interval(Integral, 1, None, closed="left")],
+        "random_state": ["random_state"],
+    }
+)
 def make_spd_matrix(n_dim, *, random_state=None):
     """Generate a random symmetric, positive-definite matrix.
 
diff --git a/sklearn/tests/test_public_functions.py b/sklearn/tests/test_public_functions.py
index e3eb9f9fdf269..903c42984a8f4 100644
--- a/sklearn/tests/test_public_functions.py
+++ b/sklearn/tests/test_public_functions.py
@@ -144,6 +144,7 @@ def _check_function_param_validation(
     "sklearn.datasets.make_regression",
     "sklearn.datasets.make_sparse_coded_signal",
     "sklearn.datasets.make_sparse_uncorrelated",
+    "sklearn.datasets.make_spd_matrix",
     "sklearn.decomposition.sparse_encode",
     "sklearn.feature_extraction.grid_to_graph",
     "sklearn.feature_extraction.img_to_graph",