The interaction of both nonequal-amplitude coupled linear-polarization solitons inanomalous dispersion region and coupled round-polarization dark solitons in normaldispersion region is numerically investigated by the split-step Fourier transformationmethod. The mechanism and the cause of the interaction are analyzed. The results show thatthe interaction of coupled solitons exists not only in the same channel, but also in the'different channel. For the latter,it is a cross interaction.