The invention relates to a mechanism which can replace manpower for moving ropes, in particular to a numerical-control rope moving mechanism used for achieving automation of a rope moving procedure in the assembling process of steel wire rope vibration isolators. The numerical-control rope moving mechanism comprises a base. A connecting plate is fixedly arranged on the front end portion of the base, a stepping motor is fixedly arranged on the connecting plate, a small synchronous pulley is connected at the output end of the stepping motor, linear guide rails are arranged on the two sides of the upper end portion of the base in the width direction respectively, a ball screw is arranged between the two linear guide rails, a large synchronous pulley is fixedly connected to the end portion of one side, close to the connecting plate, of the ball screw, and the large synchronous pulley and the small synchronous pulley are connected through a synchronous belt. According to the numerical-control rope moving mechanism, manpower is replaced by mechanical force for moving the ropes, and labor intensity of operators is reduced. Meanwhile, the problem that two or more people are needed for carrying out rope moving operations in the assembling process of the large-size steel wire rope vibration isolators is solved, manpower is saved, and cost is reduced.