Abstract: A high-order discontinuous Galerkin method (DGM) based on hybrid mesh was developed to solve the laminar NS equations. Details on high order approximation of the real solid boundary were given. Newton method was used to solve the resulting nonlinear system after the DG discretization. In each Newton loop, preconditioned GMRES method was adopted to solve the large sparse linear systems. Numerical results indicate that the developed DG method on hybrid mesh is a promising way to solve viscous flow cases.