The invention discloses a fastening device. The fastening device comprises a transverse plate, a drive device arranged on the transverse plate, a plane motion mechanism, a curve motion mechanism and a carrier; the plane motion mechanism and the curve motion mechanism are arranged at the lower end face of the transverse plate, are connected with the drive device and are used in a cooperated manner, the carrier is arranged below the transverse plate, and a fastening assembly corresponding to and used in cooperation with the plane motion mechanism and the curve motion mechanism is arranged on the carrier; a fastening platform used in cooperation with the fastening assembly is arranged on the plane motion mechanism, and the plane motion mechanism and the curve motion mechanism are connected with a drive plate connected with the drive device through a pushing rod and a pushing block correspondingly; and the fastening device is simple in structure, a single power source is arranged to drive the horizontal motion mechanism and the curve motion mechanism which are used in a matched manner at the same time to complete fastening of products after the products are placed on the carrier, the size occupied by the fastening device is reduced, and arrangement of production equipment is facilitated.