To restrain the nonlinear dynamical behaviors like bifurcation in current mode controlled Buck converter caused by variation of circuit parameters, a dynamic analysis and control method based on monodromy matrix is studied. First, Filippov’s method is applied to obtain a linearization around the periodic orbit of current mode controlled Buck converter, and it can be described as monodromy matrix; combined with Floquet theory, the eigenvalues of the monodromy matrix (Floquet multipliers) are used to analyze the stability of the converter:the state whether Floquet multipliers are within the unit circle is committed to determine whether the converter occur bifurcation. Meanwhile, the stability of the converter under condition in multi-parameter changes is considered, its stable region is relatively narrow, converter is easy to occur bifurcation and become unstable. Based on the method of resonant parametric perturbation, a slight period signal is added to the reference current, which can change the switching hypersurface between the state of converter, and the bifurcation behaviors can be effectively restrained, through this, stable region is obviously expanded. Finally, the simulation and experimental results show that the analysis method and conclusion proposed is effective. This work is supported by National Key Basic Research Program of China (973 Program) (No. 2015CB755805).