To meet the need of ultra-precision polishing of optical aspheric elements with high precision, the motion control algorithm is designed for magnetic compound fluid polishing of aspheric magnetic components. Optical aspheric magnetic compound fluid polishing principle is analyzed. The relation between the configuration of the polishing head and the aspheric surface is established. The D-H method is used to establish the kinematics model of the polishing test platform and the head posture during the polishing process is solved. Process experiments are carried out to verify the motion control algorithm. Experimental results show that the designed motion control algorithm can process optical aspherical elements reasonably.