In this paper, a numerical model is presented for predicting the buoyantplume rise with wind in the neutral and stable stratification. The Boussinesq approxima-tion and the bent-over plume assumption are not used in the model. Instead, the dragof the wind on the plume is taken into consideration and it is assumed that the ambientturbulence has notable effects upon the path even in the early and late stages of rising.Finally, the numerical results are obtained by applying a Hamming procedure. Analysisindicates that the change of parameters within the plume is reasonable. It is found thatthe results from the model are in good agreement with the observational data in neutraland stable stratification.