Dimensionless nonlinear dynamical equations of packaging system under the action of half-sinusoid pulse were established by using tilted support packaging system as study object. The shock response acceleration of the system and the shock response spectra were studied using numeric method. The effects of peak pulse acceleration, pulse duration, angle of tilted support spring and damping were discussed. It was concluded that the effects of peak pulse acceleration, pulse duration, angle of tilted support spring and damping ratio of the system are particularly noticeable.