A nonlinear low-Reynolds-number k-epsilon model of Park and Sung (1995) was extended to predict the flows over a step with inclined wall, where a boundary-layer flow without separation and a separated and reattaching flow coexist. For a better prediction of the flows, a slight modification was made on the function of wall damping f mu and the model constant C-epsilon 1 in the epsilon-equation. The model performance was validated by comparing the model predictions with the experiment. It was shown that the flows over a step with inclined wall are simulated successfully with the present model. (C) 1997 by Elsevier Science Inc.