Abstract: Differential quadrature method(DQM)is able to obtain highly accurate numerical solutions of differential equation s just using a few grid points.But using purely differential quadrature method,good numerical solution s of two-dimensional incompressible Navier-Stokes equations can be obtained only for low Reynolds number flow and numerical solutions will not be convergent for high Reynolds number flow. For this reason,in this paper a combinative predicting-correcting numerical scheme for solving two-dimensional in compressible Navier-Stokes equations is presented by mixing upwind difference method into differential quadrature one.Using this scheme and pseudo-time-dependent algorithm,numerical solutions of high Reynolds number flow are obtained with only a few grid points.For example,1:1 and 1:2 driven cavity flows are calculated and good numerical solutions are obtained.