This paper introduces the phenomenon of nonlinear chaos of the peak current mode to control H bridge converter that has been known to become chaos for wide parameter variations after simulating to the model of H bridge converter. The natural reason of nonlinear phenomena can be explained by theoretical analysis. According to the characteristics of H bridge converter, resonant parametric perturbation was provided to suppress chaotic behavior of the converter and made the system changing from chaos to stable period. It is an effective non-feedback method for controlling chaos and it is such a suitable control method for controlling chaos in non-autonomous systems. Selecting the best perturbation phase to achieve the best chaos control results can optimize the method of resonant parametric perturbation. The control method suppresses chaos with high efficiency and it can provide theoretical basis for stability design of H bridge converter.