A detachable roller mold press includes two rollers that can rotate relative to each other. The rollers are securely fastened to a predetermined location, which can drive a press mold or a knife mold plate. The roller mold press of the present invention is detachable so as to save storage space. The detachable roller mold press includes a roller mechanism, a chassis, a bottom cover and two bridges. The roller mechanism includes two rollers that can rotate relative to each other. The front and the rear portions of the chassis include an opening. The opening and the two rollers form a space for allowing a knife mold or a press mold plate to move therein. By rotating the two rollers, one can move the knife mold or the press mold plate to rapidly carve or engrave on a piece of paper or a piece of cloth.