We investigate the light intensity-dependent superprism phenomenon in the two-dimensional Kerr nonlinear photonic crystal (PhC) by nonlinear finite-difference time-domain (FDTD) technique. Results show that when the intensity of the self-pumping beam is increased from 70 to 300 W/μm, the refraction angle of the beam can be tuned about 10 degree. Furthermore, when the input power is high enough, the wave vector can be rotated by the local refractive index interfaces induced by the pumping power. By monitoring the transmission efficiency at different depths in PhCs, the propagating beam is found to undergo several states which correspond to different power loss mechanisms.