The Level-Set discontinuity tracking technology is extended to the simulation of general compressible multimaterial flows.A Level-Set function is used to keep the track of the interface and discontinuity.A conservative high order accurate WENO scheme is employed.The ghost fluids are constructed in the narrow band region with solution of the Riemann problem.The GFM (ghost fluid method) is implemented for the study of material interface and general discontinuity such as detonation discontinuities.The algorithm is applied to simulate multi-material fluid flows and satisfactory numerical results are obtained.