The study of this paper is that the discrete-vortex method simulates the separated flow in a single downward-facing step, and calculates the timedependent instantaneous local momentum fluctuation. The discrete-vortex simula-tion of some turbulent flows has been demonstrated as a powerful technique in modeling the flow over a bluff bodies at high Reynolds number, such as flow over a single cylinder and over two successive cylinders, flow over an inclined plate. The major objective of this paper is to extent the discrete vortex method simulation the separated flow in a single downward-facing step. The main technique is that the shear layers emanating from the edges of the downward-facing are represented by an array of discrete vortexes introduced into the flow field at appropriate time intervals at some fixed points near the edges of downward-facing. The strength of the nascent vortices are chosen so as to satisfy the Kutta condition at the edges of the downward-facing. From the comparison between calculative result of the study and experiment or traditional transport phenomenon, we can find that except near downward-facing, the physical tendency of flow field is reasonable. Therefore discrete-vortex method to prove for solution of a single downward facing step problem.