The Reynolds stress model for high Reynolds numbers by Launder et al, is extended to near-wall regions oFlow Reynolds numbers. In the development of the model, particular attention is given to the high anisotropy of turbulent stresses in the immediate vicinity of a wall and to the behavior of the exact stress equation at a wall. A transport model for the turbulence energy dissipation rate is also developed by taking into account its compatibility with the stress model at a wall.