Abstract: The mechanical environment induced by the pyroshock in spacecraft concerns a transient nonlinear problem with a wide-frequency band. Its study is related not only to computational techniques but also to areas of structural dynamics, impact dynamics, explosive behavior, materials behavior at high strain rates, and etc. In the present time, there is no generally accepted method which can predict the response of the pyroshock exactly and effectively in engineering. In the spacecraft field, it is urgent to have a good prediction of the pyroshock responses in the qualification design and the attenuation design for the shock environment of both the system and the assemblies. The mechanism of the pyroshock propagation and the resonant vibration are analyzed in this paper. The methods to predict the pyroshock environment are reviewed systematically. The most important points and difficulties in this respect are pointed out.