Theoretical research and numeric model of dispersion compensation of chirped super Gaussian pulses are presented, using chirped fiber grating with the apodization of parabola squared function. It shows that pulses, after transmitting in a fiber length, will become broadened because of dispersion. When using chirped fiber grating with the apodization of parabola squared function, pulses can be compensated with the results that the width of pulses is more narrow and the max-power is higher ,compared with using chirped fiber grating with the apodization of Gaussian function. The pulses are distorted after being compensated. The max-power has something to do with the order of Gaussian pulses.