Compared with a single Vienna rectifier, the interleaved parallel Vienna rectifier has a larger output power range, a smaller current ripple, and is more widely used. Although the existing continuous modulation strategies can solve the zero-crossing distortion problem of single Vienna rectifier, a new problem will appear in the interleaved Vienna rectifier: they will cause a current jump after the zero-distortion region. In order to solve this problem, this paper proposes an improved carrier modulation strategy with buffer by analyzing the mechanism of current jump phenomenon, and establishes a simulation experiment in Matlab/Simulink for verification. The results show that the proposed modulation strategy can effectively reduce the current jump.