diff --git a/python/tests/test_Lattice.py b/python/tests/test_Lattice.py
new file mode 100644
index 000000000..73f1b58dd
--- /dev/null
+++ b/python/tests/test_Lattice.py
@@ -0,0 +1,41 @@
+import random
+
+import pytest
+import numpy as np
+
+from damask import Symmetry
+from damask import Lattice
+
+class TestSymmetry:
+
+    @pytest.mark.parametrize('invalid_symmetry',['fcc','bcc','hello'])
+    def test_invalid(self,invalid_symmetry):
+        with pytest.raises(KeyError):
+            s = Symmetry(invalid_symmetry)
+
+    def test_equal(self):
+        symmetry = random.choice(Symmetry.lattices)
+        assert Symmetry(symmetry) == Symmetry(symmetry)
+
+    def test_not_equal(self):
+        symmetries = random.sample(Symmetry.lattices,k=2)
+        assert Symmetry(symmetries[0]) != Symmetry(symmetries[1])
+
+    @pytest.mark.parametrize('lattice',Symmetry.lattices)
+    def test_inFZ(self,lattice):
+          assert Symmetry(lattice).inFZ(np.zeros(3))
+
+    @pytest.mark.parametrize('lattice',Symmetry.lattices)
+    def test_inDisorientationSST(self,lattice):
+          assert Symmetry(lattice).inDisorientationSST(np.zeros(3))
+
+    @pytest.mark.parametrize('lattice',Symmetry.lattices)
+    @pytest.mark.parametrize('proper',[True,False])
+    def test_inSST(self,lattice,proper):
+          assert Symmetry(lattice).inSST(np.zeros(3),proper)
+
+    @pytest.mark.parametrize('function',['inFZ','inDisorientationSST'])
+    def test_invalid(self,function):
+        s = Symmetry()
+        with pytest.raises(ValueError):
+            eval('s.{}(np.ones(4))'.format(function))