The influence of Compton scattering on the modulation instability near zero dispersion in plasma is studied by using the model of multi-photon nonlinear Compton scattering and nonlinear Schrdinger′s equation, a new mechanism on the modulation instability is formed by Compton scattering has been raised, a amended dispersion equation on the light pulse propagation has been given out, and it is simulated with the numbers. The results show that when the second-step dispersion is bigger,the gain score of the modulation instability of the wander from the nearby zero dispersion is decided by the second-step dispersion produced by incident and scattered lights. The fourth-step dispersion effect is quickly decreased along with the increasing of the second-step dispersion,and the cause is that the fourth-step dispersion effect is affectively weakened by Compton scattering. The gain score of the modulation instability near the zero dispersion is decided by the fourth-step dispersion produced by incident light and scattered light, the second-step dispersion is annihilated,the maximum number of the perturbation frequency is quickly approached to critical perturbation frequency, and the cause is that the fourth-step dispersion effect is affectively increased by Compton scattering. The width of the gain score is quickly increased along with the increasing of the plasma loss, the cause is that the scattered effect is increased along with the power increasing, and the effect causes that the radiation damping of the charged particle is increased.