Abstract: In this paper, a numerical simulation method has been applied for the prediction of wind pressures on buildings induced by three-dimensional surface boundary layer airflow. The governing differential equations of generalized form for steady wind flows were derived by means of an extended k-ε turbulence enclosure model. The control volume method was used to discretize the differential equations. With the SIMPLEC pressure correction iterative algorithm, the solution of the discretized nonlinear equations was obtamed and the calculation examples were given. The results show that the simulation method proposed in this paper improves the prediction accuracy of wind pressures on the side and the top walls of the buildings.