The hydrodynamic equations for a shock wave, propagating in a viscous material, are integrated to obtain an expression for the shock profile under steady conditions. This expression is compared with a similar one reported by other authors, and both are shown to be in reasonable agreement with the available experimental data for shock propagation in aluminum. It is also demonstrated that these expressions for the steady shock profile are different because they are based on different assumptions on the form of the shock‐vs‐particle velocity relationship. It is finally shown that the linear relation used in the present paper is in better agreement with the experimental data on velocities.