N2 capacitively coupled rf discharge was simulated by PIC/MCC model, in which we computed the rf electric field, the density and mean energy of charged particles (e, N2+, N+),the energy distribution of ions (N2+, N+) bombarding rf electrode and their variation by following different discharge parameter (p, Vrf). The simulated results show that, ions (N2+, N+) seem to follow the electric field with a slight delay; the ions N+ have higher energy near the two electrode, the ions N2+ have higher density, and the N2+ density is about six times of the N+ density. With as the change of discharge parameter, the change of the energy of ions (N2+, N+) bombarding rf electrode is obvious, but the change of their density is slightly unconspicuous. The simulated results for electron energy probability distribution function are agreement with the measured results.