The piezoelectric deformable mirror (DM) has been widely used in the field of adaptive optics with the advantages of high frequency response, large deformation and good stability. However, the precise control of the piezoelectric DM is difficult due to the large hysteresis of piezoelectric materials under voltagedriven mode. In order to reduce the hysteresis effect of the piezoelectric DM, a driving power supply for the multichannel piezoelectric DM based on the charge driving is designed in this paper. The composition and principle of the driving power supply are introduced, and an adaptive optical test platform based on the ShackHartmann wavefront sensor is built to verify the performance of the driving power supply. The experimental results show that the driving power supply can effectively reduce the hysteresis effect of piezoelectric deformable mirror. The overall hysteresis is about 1% and the root mean square (RMS) error value of resolution of the DM deformation is about 1.1 nm. It can satisfy the requirements of precise control of multichannel piezoelectric deformable mirror in the field of adaptive optics.