The characteristics of nonlinear transmission of shaped pulse through the stacking 32 linearly chirped Gaussian pulses in single mode fiber were analyzed by solving the generalized nonlinear Schrdinger equation numerically. The simulating results indicate that after 50 m transmission in a single mode fiber, the duration and the envelope shape of the stacking chirped pulses have almost no change. The nonlinear effects, such as self-phase modulation and intrapulse Raman scattering, impact seriously on the spectral domain characteristics of the pulse, the spectral width is broaden about 40 THz and the center angle-frequency is downshift about 10 THz. The self-steepening effect and the third order dispersion affect the transmission characteristics little.