Abstract: A new method for modeling frictional contact problem by extended finite element method (XFEM) is researched. On the basis of the idea of partition of unity, a discontinuous function and the two-dimensional asymptotic crack-tip displacement fields are added to the displacement interpolation formula to account for discontinuity of the contact surface and stress singularity near the contact surface tip respectively. Governing equations are deduced by virtual work principle and the integral of the discontinuous functions are calculated by Gauss integral through sub-elements cut by discontinuous surface. Thus it is unnecessary for using contact element in contact analysis by XFEM compared with FEM, and the element can be meshed without considering the location of the contact surface. So XFEM is promising in modeling frictional contact problem and the crack growth of compression-shear mixed mode crack.