Abstract: A three-dimensional mathematical model for calculating the steady flow of multiple non-buoyant turbulent jets in a cross flowing is present in this paper.For closing the control equation,the k-ε turbulence model is used in the mathematical model.The wall-function method is employed to treat the wall boundary condition at the bottom plane.The closed control equations are discretized by using hybrid finite analytic method on a non-uniform staggered grid system.The two characteristics for this kind flow are present:one is maximum surface elevation,an other is the condition for transform of flow type.The minimum dilution of water surface is given also.The results are reasonable and useful to design for waste water discharging into river.