Muzzle strong impact is a feasible test method of gun-power-recoil. For the waveform generator design of gun-power-recoil test machine, built finite element model of gun-power-recoil test machine based on ABAQUS. Through rubber tests, selected Arruda-Boyce model as constitution model of waveform generator. With average relative error of recoil dynamic properties between simulation test and live firing as design objective, built initial sample data based on orthogonal design method, and adopted QPSO-LS-SVM algorithm to optimize the waveform generator. This research will provide a theoretical reference for the design of gun-power-recoil test machine.