This paper introduces the realization of low pass filter effect of zero phase shift in shock acceleration calibration by means of a two-order Butterworth low pass filter, time series of turnover and two filtering modes, in order to restrain the influence of electrical, mechanical and other interference and noises on the measurement results of impact acceleration. We compared the peak deviation on the shock acceleration waves of different attenuation degrees with the low pass filter at different cut-off frequencies, and proposed the issues that are noticeable in selecting cutoff frequencies of low pass filter with different acceleration wave forms.