Abstract: The Brownian dynamics simulation method which is used to study the rheological properties of molecule models in polymer is described and the researches on this method are summarized. In general cases, the methods for the study of molecule models can be combinedwith the numerical methods for solving the conservation equations in fluid dynamics. Then, it is possible to use a molecule model to take the place of the constitutive equation in continuum mechanics for numerical simulation of complex flows of polyme...