Numerical solutions are presented for three-dimensional waves in an elastic/viscoplastic bar of square cross section, subjected to a uniform velocity impact. The governing hyperbolic partial differential equations are solved by the method of numerical integration along bicharacteristics. The numerical results for the bar of square cross section are compared with those for that of circular cross section in order to examine the effect of the difference in the shape of the cross section on the wave propagation in the bar. It is shown that the distributions of the longitudinal stress or strain across the transverse section in the vicinity of the impact end of the square elastic bar do not become virtually uniform.