The two-dimensional time-dependent Schrdinger equation of arbitrary polarized laser pulse interacting with a model H atom is solved by using the two-dimensional asymptotic boundary condition (ABC) and symplectic algorithm. In order to investigate the influence of ellipticity on high order harmonic generation (HHG) of atom in arbitrary polarized laser field, we consider different ellipticities, and then compute the HHG for two-dimensional model H atom. Finally, we analyze the characteristics of HHG under different polarized laser fields. So it is reasonable and effective to extend the one-dimensional ABC and symplectic algorithm to the problem of laser interacting with a two-dimensional model atom.