Based on extended nonlinear Schr(o)dinger equation, the effects of third-order and fourth order dispersion on cross-phase modulation instability (XPM) are investigated, considering the fiber loss and high-order dispersion. The results show that the third-order dispersion does not affect modulation instability. But because of fourth-order dispersion, XPM occurs at two spectrum regions in both the normal and the anomalous dispersion regimes under certain conditions. Gain spectra of the two regions of anomalous dispersion regime are larger than those of normal dispersion regime, and gain spectrum of the second region of anomalous dispersion regime is near zero than that of normal dispersion regime. The research also shows that fiber loss reduces the frequency range of the gain spectrum, and the frequency range becomes smaller with the increasing of the propagation distance.