diff --git a/var/spack/repos/builtin/packages/mptensor/package.py b/var/spack/repos/builtin/packages/mptensor/package.py
index 84c8eb82f1..6106682279 100644
--- a/var/spack/repos/builtin/packages/mptensor/package.py
+++ b/var/spack/repos/builtin/packages/mptensor/package.py
@@ -25,6 +25,8 @@ class Mptensor(CMakePackage):
     depends_on('scalapack', when="+mpi")
     depends_on('doxygen@:1.8.11', type="build", when="+doc")
 
+    test_requires_compiler = True
+
     def cmake_args(self):
         spec = self.spec
         options = []
@@ -53,3 +55,42 @@ def cmake_args(self):
         ])
 
         return options
+
+    @run_after("install")
+    def setup_build_tests(self):
+        """Copy the build test files after the package is installed to an
+        install test subdirectory for use during `spack test run`."""
+        self.cache_extra_test_sources('.')
+
+    def test(self):
+        if "+mpi" not in self.spec:
+            print("Test of mptensor only runs with +mpi option.")
+        else:
+            with working_dir(join_path(self.install_test_root, "tests"), create=False):
+                make("clean")
+                makefile = FileFilter("Makefile")
+                makefile.filter("g++", "{0}".format(spack_cxx), string=True)
+
+            with working_dir(join_path(self.install_test_root), create=False):
+                makefile = FileFilter("Makefile.option")
+                makefile.filter("CXX =.*", "CXX ={0}".format(self.spec["mpi"].mpicxx))
+                makefile.filter(
+                    "CXXFLAGS =.*", "CXXFLAGS ={0}".format(self.compiler.cxx11_flag)
+                )
+
+            math_libs = (
+                self.spec["scalapack"].libs
+                + self.spec["lapack"].libs
+                + self.spec["blas"].libs
+            )
+
+            with working_dir(join_path(self.install_test_root, "tests"), create=False):
+                make("LDFLAGS={0}".format(math_libs.ld_flags))
+
+                mpirun = self.spec["mpi"].prefix.bin.mpirun
+                mpiexec = Executable(mpirun)
+                mpiexec("-n", "1", "tensor_test.out")
+
+                # Test of mptensor has checker
+                # and checker is abort when check detect any errors.
+                print("Test of mptensor PASSED !")