The invention relates to an automatic device for being capable of fastening multiple screws at the same time, in particular to a synchronous fastening device. The synchronous fastening device achievesthe purpose of being simple in structure, convenient to adjust, high in reliability and uniform in stress of a fastened piece. The synchronous fastening device comprises a power source, a base, a fixing shaft fixedly installed at one side of the base, a driving gear which sleeves the fixing shaft and can rotate relative to the fixing shaft, a plurality of driven gears capable of being externallymeshed with the driving gear, a plurality of transmission shafts capable of synchronously rotating relative to the driven gears, and a fastening piece which is connected with one ends of the transmission shafts and can synchronously move along with the transmission shafts. The fastening piece is used for fastening the piece to be fastened. The fastening piece is matched with the piece to be fastened. The power source is used for supplying power to the driving gear. The automatic device further comprises a transition gear. The device adopts the single power source to achieve synchronous screwing of the screws, assembling and adjusting are easy, the cost is low, the requirement for the environment is low, and the application range is wide.