Described in the paper is a numerical algorithm based on the latest development of Computional Fluid Dynamics technology for real flow of turbomachinery cascade. More details of flow information and many practical laws for modern turbomachery design can be obtained. Numerical calculations demonstrate clearly that a one - step two - order accuracy Implicit Flux Vector Splitting （IFVS） scheme has obvious superiority in aspeCts of accuracy and calculation. In the case of 2- D fransonic cascade flows

shock wave is exactly captured and results are satisfactory.