Switching power amplifier is the main device generates nonlinear distortion, the adaptive predistortion technique is an effective technique to compensate for the switching power amplifier nonlinear distortion. For non-linear characteristics of the switching power amplifier, power amplifier model is first established in the text and then use NMSE evaluation model. On the establishment of switching power amplifier polynomial model, taking into account the linearization, and to maximize the power output amplitude limit, we use Wiener model estimator to constitute indirect predistortion linearization systems and Gauss-Newton iterative method for predistortion model parameter identification optimization. Finally, simulations and experiments validate that this method can effectively compensate for switching power amplifier nonlinear distortion, increasing the switching amplifier performance.