Problems of one-dimensional elastic-plastic longitudinal impact were studied theoretically and experimentally. Impact stress and strain produced in a bar by a tensile or compressive impact load were calculated by the following methods without consideration of the effect of strain rate. 1) a numerical solution of the wave equation (exact solution) 2) the finite element method, and 3) an approximate solution neglecting the wave propagation. Elastic-plastic impact tests were carried out on cylindrical bars of mild steel and the results were analysed by the above three methods. An analysis of the wave propagation considering nonuniform contact at the end of a bar shows good agreement with the observed strain-time records. The finite element method is useful to estimate the wave propagation. When the mass of a specimen is much less than that of impact testing system, the approximate solution is fairly good agreement with the exact solution and experimental results.