A novel spectrum reshaping approach of scanning amplitude limiting based on Optical Kerr effect is proposed to overcome the undesirable spectral gain narrowing and blueshift effect in chirped pulse amplification (CPA). The theoretical analysis of the scheme is demonstrated and the reshaping performance of F-P interference filtering device with built-in Optical Kerr medium are simulated and discussed. For the initial Gaussian spectrum of chirped pulse with ns magnitude of 800nm central wavelength and 20nm bandwidth, the "saddle shape" and "blue shift" spectrum are obtained by the proposed spectrum reshaping approach. The theoretical analysis and numerical simulation show that the spectrum of chirped laser pulses can be reshaped flexibly by the proposed scanning amplitude limiting method based on Optical Kerr effect. Furthermore, it is necessary to reduce the deviation of pump intensity as much as possible so as to match the reshaped spectrum with the desired spectrum.