diff --git a/release_docs/RELEASE.txt b/release_docs/RELEASE.txt
index b9c461cd318..a0b2c2d6210 100644
--- a/release_docs/RELEASE.txt
+++ b/release_docs/RELEASE.txt
@@ -559,6 +559,12 @@ Bug Fixes since HDF5-2.0.0 release
 
     Testing
     -------
+    - Added skipping of a few parallel tests for OpenMPI 5.0.5
+
+      An issue in OpenMPI 5.0.5 causes a few parallel HDF5 tests
+      (mpiodup, props, fapl_preserve) to fail. These tests are
+      now skipped for that release of OpenMPI. The issue has
+      been fixed in the 5.0.6 release of OpenMPI.
 
 
 Platforms Tested
diff --git a/testpar/testphdf5.c b/testpar/testphdf5.c
index c511ee387be..3253776dfb5 100644
--- a/testpar/testphdf5.c
+++ b/testpar/testphdf5.c
@@ -346,7 +346,19 @@ main(int argc, char **argv)
     test_params.count = 0;
 
     /* Tests are generally arranged from least to most complexity... */
+
+    /* Skip this test for OpenMPI version 5.0.5 since an issue was
+     * introduced in that release which causes this test to fail.
+     * The issue was fixed for the 5.0.6 release.
+     */
+#if defined(OPEN_MPI) && defined(OMPI_MAJOR_VERSION) && (OMPI_MAJOR_VERSION == 5) &&                         \
+    defined(OMPI_MINOR_VERSION) && (OMPI_MINOR_VERSION == 0) && defined(OMPI_RELEASE_VERSION) &&             \
+    (OMPI_RELEASE_VERSION == 5)
+    AddTest("-mpiodup", test_fapl_mpio_dup, NULL, NULL, NULL, 0, "fapl_mpio duplicate");
+#else
     AddTest("mpiodup", test_fapl_mpio_dup, NULL, NULL, NULL, 0, "fapl_mpio duplicate");
+#endif
+
     AddTest("getdxplmpio", test_get_dxpl_mpio, NULL, NULL, &test_params, sizeof(test_params),
             "dxpl_mpio get");
 
@@ -357,8 +369,19 @@ main(int argc, char **argv)
     AddTest("page_buffer", test_page_buffer_access, NULL, NULL, &test_params, sizeof(test_params),
             "page buffer usage in parallel");
 
+    /* Skip this test for OpenMPI version 5.0.5 since an issue was
+     * introduced in that release which causes this test to fail.
+     * The issue was fixed for the 5.0.6 release.
+     */
+#if defined(OPEN_MPI) && defined(OMPI_MAJOR_VERSION) && (OMPI_MAJOR_VERSION == 5) &&                         \
+    defined(OMPI_MINOR_VERSION) && (OMPI_MINOR_VERSION == 0) && defined(OMPI_RELEASE_VERSION) &&             \
+    (OMPI_RELEASE_VERSION == 5)
+    AddTest("-props", test_file_properties, NULL, NULL, &test_params, sizeof(test_params),
+            "Coll Metadata file property settings");
+#else
     AddTest("props", test_file_properties, NULL, NULL, &test_params, sizeof(test_params),
             "Coll Metadata file property settings");
+#endif
 
     AddTest("delete", test_delete, NULL, NULL, &test_params, sizeof(test_params), "MPI-IO VFD file delete");
 
@@ -367,8 +390,20 @@ main(int argc, char **argv)
 
     AddTest("evictparassert", test_evict_on_close_parallel_unsupp, NULL, NULL, &test_params,
             sizeof(test_params), "Evict on close in parallel failure");
+
+    /* Skip this test for OpenMPI version 5.0.5 since an issue was
+     * introduced in that release which causes this test to fail.
+     * The issue was fixed for the 5.0.6 release.
+     */
+#if defined(OPEN_MPI) && defined(OMPI_MAJOR_VERSION) && (OMPI_MAJOR_VERSION == 5) &&                         \
+    defined(OMPI_MINOR_VERSION) && (OMPI_MINOR_VERSION == 0) && defined(OMPI_RELEASE_VERSION) &&             \
+    (OMPI_RELEASE_VERSION == 5)
+    AddTest("-fapl_preserve", test_fapl_preserve_hints, NULL, NULL, &test_params, sizeof(test_params),
+            "preserve MPI I/O hints after fapl closed");
+#else
     AddTest("fapl_preserve", test_fapl_preserve_hints, NULL, NULL, &test_params, sizeof(test_params),
             "preserve MPI I/O hints after fapl closed");
+#endif
 
     AddTest("idsetw", dataset_writeInd, NULL, NULL, &test_params, sizeof(test_params),
             "dataset independent write");