The invention provides a method and a system for driving the rotation of a stepping motor. The method comprises the steps that a total number N of the times of acceleration needed by the stepping motor from starting to constant-speed running is set, and time tn needed for the nth time of acceleration is set, wherein n is an integer, 1<=n <= N, and simultaneously, tn< tn-1; the stepping motor is driven according to the total number N and the time tn needed for each time of acceleration; and when the number of the times of acceleration is equal to the total number N, the motor is driven to run at a constant speed. When the control method is adopted to drive the stepping motor, only acceleration and constant-speed processes are included, so that the control process is simple; in addition, the total number N of the times of acceleration and the time tn needed for each time of acceleration are respectively adjustable, so that the stability of the running of the stepping motor is facilitated, and that is to say, the stepping motor is enabled to stably and rapidly to rotate to a constant-speed period.