The invention relates to a valve linkage device, which is characterized in that a motor is arranged at the central position of a fixed plate; a first high-pressure ball valve and a fourth high-pressure ball valve are arranged on the left side of the motor, a third high-pressure ball valve and the fourth high-pressure ball valve are symmetrically arranged on the right side of the motor, an A2 end of the first high-pressure ball valve and a B2 end of a second high-pressure ball valve are connected with a first tee respectively, an A1 end of the first high-pressure ball valve and a C1 end of the third high-pressure ball valve are connected with a second tee respectively, a B1 end of the second high-pressure ball valve and a D1 end of the fourth high-pressure ball valve are connected with a third tee respectively, and a C2 end of the third high-pressure ball valve and a D2 end of the fourth high-pressure ball valve are connected with a vent silencer by a copper pipe respectively; and the other side of the fixed plate is provided with a four-bar linkage driven by the motor. The valve linkage device has the advantages of few electric elements, long system life and good reliability; the valve linkage device integrates the vent silencer with regeneration air capacity, and has convenient maintenance; and the valve linkage device has a simple control system, and can greatly reduce the fault rate of the control system only by controlling one actuating motor.