The nonlinear characteristics of TE surface wave on an anti-ferromagnet is studied.The nonlinear motion equation for TE wave is converted to Bernoulli differential equation and its exact solution is found in a form of inverse function.The necessary condition for the existence of nonlinear TE surface wave is μx>0.The dispersion equation and the frequency region are analyzed.The theoretical results show that the peak position of the magnetic field is not a function-of power and localized steadily at the surface of the material.In the condition of-- ε1>ε2 one guiding power corresponds two different effective refraction indexes showing the bistable property of the nonlinear TE surface waves.