Abstract: The progress in numerical simulation for agitated flow field in stirred tank of non-Newtonian fluid is reviewed from three aspects, the control equations, the treatment of rotational impeller and the numerical methods. The generalized Newtonian fluid models are commonly adopted in the numerical simulation for non-Newtonian fluid for their advantages of simpleness in form and low computational complexity. The constitutive equations for viscoelastic fluid are highly nonlinear, which leads to a great difficulty in the study using computational fluid dynamics (CFD) method on the viscoelastic flow field in stirred tank, thus the correspond investigation is just at a preliminary stage. Reasonable simplification for the constitutive equations of viscoelastic fluid and application of proper numerical discretization method would be helpful to the progress in the simulation for viscoelastic fluid flow field in stirred tank.