A grinding machine includes a slight gyration module for driving a homogeneous container to undergo an X-axial motion and a Y-axial motion within ±1-3 mm distance, a homogeneous-stick rotation module for rotating a homogeneous stick in the homogeneous container so as to generate an eccentric motion between the homogeneous stick and the homogeneous container, and a homogeneous-stick vertical movement module for vertically moving the homogeneous stick with respect to the homogeneous container. When the homogeneous stick is lowered into the homogeneous container by the homogeneous-stick vertical movement module, an eccentric motion with a 1-3 mm radius of gyration can be activated between the homogeneous container and the homogeneous stick so as to carry out the grinding in a tiny slim space between the homogeneous container and the homogeneous stick； such that the grinding efficiency of the grinding machine can be substantially enhanced.
