diff --git a/regressionTests.cmake b/regressionTests.cmake
index 8250674e8..934c7da7a 100644
--- a/regressionTests.cmake
+++ b/regressionTests.cmake
@@ -575,6 +575,41 @@ add_test_compareECLFiles(CASENAME co2store_energy
                          REL_TOL ${rel_tol}
                          DIR co2store)
 
+add_test_compareECLFiles(CASENAME h2store
+                         FILENAME H2STORE
+                         SIMULATOR flow
+                         ABS_TOL ${abs_tol}
+                         REL_TOL ${rel_tol}
+                         DIR h2store)
+
+add_test_compareECLFiles(CASENAME h2store_gw
+                         FILENAME H2STORE_GW
+                         SIMULATOR flow
+                         ABS_TOL ${abs_tol}
+                         REL_TOL ${rel_tol}
+                         DIR h2store)
+
+add_test_compareECLFiles(CASENAME h2store_gaswat
+                         FILENAME H2STORE_GASWAT
+                         SIMULATOR flow
+                         ABS_TOL ${abs_tol}
+                         REL_TOL ${rel_tol}
+                         DIR h2store)
+
+add_test_compareECLFiles(CASENAME h2store_diffusive
+                         FILENAME H2STORE_DIFFUSIVE
+                         SIMULATOR flow
+                         ABS_TOL ${abs_tol}
+                         REL_TOL ${rel_tol}
+                         DIR h2store)
+
+add_test_compareECLFiles(CASENAME h2store_energy
+                         FILENAME H2STORE_ENERGY
+                         SIMULATOR flow
+                         ABS_TOL ${abs_tol}
+                         REL_TOL ${rel_tol}
+                         DIR h2store)
+
 if (opm-common_EMBEDDED_PYTHON)
   add_test_compareECLFiles(CASENAME udq_pyaction
                            FILENAME PYACTION_WCONPROD