The mid infrared region covers the extraordinarily important atmospheric windows and has a wide range of molecular fingerprints, which has made the MIR laser based on chalcogenide glass attract considerable interest. In the development of infrared ultrashort laser, the solution of laser pulse broadening in chalcogenide glass fiber is critical, due to the high nonlinearity and dispersion properties of chalcogenide glass(ChG). In the paper, in order to settle the broadening of laser pulse, the chirped fiber grating was designed to compensate dispersion stretching of Gaussian pulse lasers due to transmitting in the fiber. The study shows that the dispersion caused by pulse broadening can be well compensated by chirped fiber grating. Further investigation suggests that the chirped fiber grating are optimized by using Gaussian apodization function to improve dispersion compensation and realize complete compensation to dispersion broadening. The research is a beneficial exploration to the design of high-quality chalcogenide mid-infrared fiber lasers and of theoretical significance.