The invention relates to a magnetic rheological polishing device used in an aspheric optical part with a super large caliber, comprising a machine tool, a magnetic rheological polishing device and a control system which is connected with the above components. The machine tool comprises a lathe bed on which the work piece to be processed is placed, an X axial linear motion mechanism is arranged on the two sides of the lathe bed, a movable portal is fixed on a slider of the X axial linear motion mechanism, a Y axial linear motion mechanism is arranged on a cross beam of the movable portal, a Z axial linear motion mechanism is fixed on a slider of the Y axial linear motion mechanism, an A axial rotary table used for arranging the magnetic rheological polishing device is fixed on a slider of the Z axial linear motion mechanism, the magnetic rheological polishing device is fixed on the cross beam by a fourth linear motion mechanism, the two have opposite directions of motion, and the magnetic rheological polishing device is arranged right above the work piece to be processed. The device of the invention has the advantages of simple and compact structure, low cost, easy control and strong processing capacity, and can process the aspheric optical part with the super large caliber.