A refined k-ε model re-considering the fluctuating pressure diffusion term in the dissipation rate equation (ε-equation) is provided and used in the numerical study of circular semi-confined turbulent impinging jet.The results are compared with those of the standard k-ε model and show that the predicting ability of the refined k-ε model is much improved, especially for the turbulent kinetic energy k.So it is necessary to consider the effect of the fluctuating pressure diffusion term and to model this term correctly and exactly in the near wall region with the great adverse pressure gradient, where the effect of the pressure fluctuating is important.Therefore we can conclude that the new modeling idea expressed in this paper is correct and effective.