The invention discloses a co-rotating differential asymmetric twin-screw extruder capable of achieving continuous extruding and a machining method thereof. The extruder comprises an equipment shell, and the top and the bottom of an inner cavity of the equipment shell are movably connected with a first rotating screw and a second rotating screw through bearings correspondingly; and the surfaces ofthe first rotating screw and the second rotating screw are fixedly connected with stirring cams which are arranged in a crossed manner. According to the co-rotating differential asymmetric twin-screwextruder, through the equipment shell, the stirring cams, a hot melting cavity, driving frames, the first rotating screw, an extrusion head, a driven gear, a speed regulating motor, a rotating rod, adriving gear and the second rotating screw, the device can achieve the function of a good using effect, and the problems that screw extruders on the existing market do not have the function of the good using effect, during mixed injection molding operation for multiple kinds of color masterbatch, the phenomenon that the color masterbatch mixing effect is poor, the color difference of extruded materials is large, and therefore, the product quality is influenced often occurs, and a user cannot use the screw extruders conveniently are solved.