Aiming at the fast steering mirror driven by four voice coil actuators, a drive control method was proposed in this paper. The high bandwidth current loop was designed for each motor, and the pushpull motion was realized by changing the current direction and magnitude. In order to improve the system damping and suppress the mechanical resonance, accurate transfer function was identified based on FFT analysis, and then a compensator with a biquad filter was introduced. The test results show that the 20 dB resonance peak is effectively suppressed, -3 dB bandwidth is increased from 118 Hz to 177 Hz, the setting time is reduced from 151 ms to 3.5 ms, the overshoot is reduced from 83.3% to 1.51%. And the dynamic response of the fast steering mirror is improved obviously, which proves the validity of this method.