In this paper, the TM surface states (so called Tamm states) of a nonlinear self-defocusing slab sandwiched between a uniform medium and a one-dimensional photonic crystal is investigated in the uniaxial approximation. The effect of the thickness of slab and the intensity-dependent properties of surface states at the interface between air background and left-handed PC (made of alternate LHM and right-handed) are studied. We showed that by increasing the intensity of electrical field along the interface, the dispersion curve shifted to the upper boundary of PC. In addition,  by increasing the thickness of the slab, dispersion curve shows  two different behaviors depending on the angle of incidence.