Soliton interaction in dispersion-shifted fibers is studied numerically, including the effect of third-order dispersion. Results show that soliton interaction in dispersion-shifted fibers is stronger and, thence, plays a more detrimental role in soliton communication system than that in conventional fibers. It is also show that launching adjacent pulses with unequal amplitudes does not results in eventual suppression of soliton interaction in dispersion-shifted fibers. Finally, a new method is suggested for suppression of soliton interaction in dispersion-shifted fibers.