The invention discloses a nut riveting press device of an injection molding product. The nut riveting press device of the injection molding product comprises a shell, cutters, a cutter cavity and a motor, wherein the motor is fixed inside the shell; a plurality of cutter holes are formed in the cutter cavity; the cutter cavity is rotatably connected on the shell; when the cutter cavity is rotated, an output shaft of the motor can be in one-to-one correspondence with the cutter holes; the output shaft of the motor is a telescopic shaft; the cutters are arranged in the cutter holes; the cutters can slide in the cutter holes; the tail ends of the cutters are connecting ends of which the sections are polygonal; and a connecting hole which can be matched with the connecting ends of the cutters is formed in the end face of the output shaft of the motor. According to the nut riveting press device, the output shaft of the motor is telescopic, then the cutter cavity is rotated, the quick cutter changing is achieved, and the cutter changing is convenient.