The prompt pump-induced wavefront characteristic of high power laser facility is undertaken to address an important aspect of the wavefront control system for the high power laser facility. Based on the ShenGuang Ⅱ four-pass amplification high power laser facility (SG-Ⅱ-FAF), numerical simulation is conducted on the prompt pump-induced wavefront distortion through ANSYS and Matlab. In order to obtain the space-time characteristics and variation features, the Hartmann wavefront analyzer is employed to conduct experiments on prompt pump-induced wavefront distortion and thermal wavefront recovery aberration after xenon lamp pumping. The numerical simulation results agree well with experimental results. The prompt pump-induced wavefront distortion of single-slab-amplifier is about 0.12λ (wavelength λ=1053 nm) of peak-to-valley (PV), and the whole optical wavefront of the SG-Ⅱ-FAF is about 5λ of PV with different laser beams, whose shape looks like a “saddle”. Simulations and experiments provide important data for the wavefront control system of SG-Ⅱ-FAF, emission laser passing through the space filters sucessfully and pumping uniformity of slab Ndglass amplifier. As a result, the far-field focus spot energy concentration of the laser beam is improved, meanwhile the success rate and the working efficiency of the SG-Ⅱ-FAF operational experiment are increased.