By using Runge-Kutta algorithm, the differential equations that describe the evolution of super-Gaussian pulse in optical fibers were calculated. The numerical result indicates that width of pulse and chirp of frequency are oscillating with the increasing of distance if normalized coefficient of the second-order dispersion is appropriate and initial chirp is small enough, and increasing jitter of frequency and phase resulted in the increase of distance. The normalized coefficient of the second-order dispersion and initial chirp () were obtained that can guarantee the conformal transmission of the pulse under circumstance of given set of values of the factor () of sharpness of super-Gaussian pulse. The important parameters of super-Gaussian pulse deviated widely from initial values in the process of transmission in optical fibers if coefficient of the second-order dispersion is too big or too small, or initial chirp is too big.