A novel second-harmonic generation scheme is proposed to compensate group velocity dispersion effects. In the scheme, a proper pre-chirp is introduced to the fundamental harmonic pulse to interact with dispersion, actively control its pulse width and raise the conversion efficiency. The result shows that the method improves the conversion efficiency of high harmonic greatly. For KD*P crystal with 12.6% deuterium, at the retracing point of phase matching, the conversion efficiency of the fundamental harmonic reaches the top at the crystal center, nearly 22%, and the optimal chirp compensation is obtained, for pulse width of 30 fs and central wavelength of 1053 nm. The relationship of conversion efficiency, conversion bandwidth and the crystal length is also studied.