diff --git a/skimage/measure/tests/test_moments.py b/skimage/measure/tests/test_moments.py
new file mode 100644
index 00000000..0667f688
--- /dev/null
+++ b/skimage/measure/tests/test_moments.py
@@ -0,0 +1,72 @@
+from numpy.testing import assert_equal, assert_almost_equal
+import numpy as np
+
+from skimage.measure import (moments, moments_central, moments_normalized,
+                             moments_hu)
+
+
+def test_moments():
+    image = np.zeros((20, 20), dtype=np.double)
+    image[14, 14] = 1
+    image[15, 15] = 1
+    image[14, 15] = 0.5
+    image[15, 14] = 0.5
+    m = moments(image)
+    assert_equal(m[0, 0], 3)
+    assert_almost_equal(m[0, 1] / m[0, 0], 14.5)
+    assert_almost_equal(m[1, 0] / m[0, 0], 14.5)
+
+
+def test_moments_central():
+    image = np.zeros((20, 20), dtype=np.double)
+    image[14, 14] = 1
+    image[15, 15] = 1
+    image[14, 15] = 0.5
+    image[15, 14] = 0.5
+    mu = moments_central(image, 14.5, 14.5)
+
+    # shift image by dx=2, dy=2
+    image2 = np.zeros((20, 20), dtype=np.double)
+    image2[16, 16] = 1
+    image2[17, 17] = 1
+    image2[16, 17] = 0.5
+    image2[17, 16] = 0.5
+    mu2 = moments_central(image2, 14.5 + 2, 14.5 + 2)
+    # central moments must be translation invariant
+    assert_equal(mu, mu2)
+
+
+def test_moments_normalized():
+    image = np.zeros((20, 20), dtype=np.double)
+    image[13:17, 13:17] = 1
+    mu = moments_central(image, 14.5, 14.5)
+    nu = moments_normalized(mu)
+    # shift image by dx=-3, dy=-3 and scale by 0.5
+    image2 = np.zeros((20, 20), dtype=np.double)
+    image2[11:13, 11:13] = 1
+    mu2 = moments_central(image2, 11.5, 11.5)
+    nu2 = moments_normalized(mu2)
+    # central moments must be translation and scale invariant
+    assert_almost_equal(nu, nu2, decimal=1)
+
+
+def test_moments_hu():
+    image = np.zeros((20, 20), dtype=np.double)
+    image[13:15, 13:17] = 1
+    mu = moments_central(image, 13.5, 14.5)
+    nu = moments_normalized(mu)
+    hu = moments_hu(nu)
+    # shift image by dx=2, dy=3, scale by 0.5 and rotate by 90deg
+    image2 = np.zeros((20, 20), dtype=np.double)
+    image2[11, 11:13] = 1
+    image2 = image2.T
+    mu2 = moments_central(image2, 11.5, 11)
+    nu2 = moments_normalized(mu2)
+    hu2 = moments_hu(nu2)
+    # central moments must be translation and scale invariant
+    assert_almost_equal(hu, hu2, decimal=1)
+
+
+if __name__ == "__main__":
+    from numpy.testing import run_module_suite
+    run_module_suite()