Starting from the modified nonlinear Schrodinger equation describing the propagation of optical soliton , the propagation properties of solitonswith initial chirp in dispersion-shifted fibers is studied numerically bymaking use of symmetrical slit-step Fourier transformation method. The results show that the interaction of solitonswith initial chirp is stronger than thatwithout it. The former influences the quality and capability of soliton communication systems. It is also shown that the unequal amplitude inputingmethod can still reduce the soliton interaction with initial chirp in a certain degree.