In recent years, compression molding of fiber-reinforced thermoplastics has been increased in commercial aspects. During a compression molding process of composites, the flow analysis must be developed in order to accurately predict the finished part properties as a function of the molding process parameters. In this paper, a new model is presented which can be used to predict the flow under consideration of the slip of mold-composites and extensional & shear viscosity ratio M and slip parameter$alpha$ on the mold filling parameters are discussed.