The invention discloses a control system and method of servo motors or stepper motors for achieving the plane motion. The control system of the servo motors or the stepper motors for achieving the plane motion comprises a clock generator, a PLD chip, a first servo motor or stepper motor and a second servo motor or stepper motor, wherein a controller, a prescaler, a first frequency divider and a second frequency divider are arranged in the PLD chip in a build-in mode, the output end of the clock generator is connected with the input end of the prescaler, the output end of the prescaler is connected with the input end of the first frequency divider and the input end of the second frequency divider, the controller has control over the frequency division number of the first frequency divider and the frequency division number of the second frequency divider, the output end of the first frequency divider is connected with the first servo motor or stepper motor, and the output end of the second frequency divider is connected with the second servo motor or stepper motor. The control system and method of the servo motors or the stepper motors for achieving the plane motion have the advantages that due to the fact that synchronous control over the two motors is achieved through the same clock signal, the resultant velocity of the plane motion produced by linkage of the two motors can be controlled, hardware resources are made full use of, and real-time control can be high in accuracy and high in speed.