Pyroshock responses of aerospace structures/systems are significantly important for design and valuation of space systems because it is a harsh environment for the systems, especially the electrical components. But the designers strongly rely on tests because, up to now, there have not been effective analytical and even numerical techniques for this problem. Fortunately, a number of researchers have been making efforts to build numerical techniques for structural responses prediction under this kind of special dynamic environments. This paper presents the techniques of time-history analysis, response spectrum analysis, statistical energy analysis and a synthetic technique composed of hydrocode analysis, time-domain finite element analysis (FEA) and statistical energy analysis. Further work and development trends are discussed in the end.