According to the model of multi-photon nonlinear Compton scattering, the influence of the modulation instability in the plasma induced by Langmuir turbulence under the multi-photon nonlinear Compton scattering has been studied. The revised equations for the strong Langmuir turbulence, dispersion and the time increasing rate of the modulation instability have been given out using a new mechanism of the strong Langmuir turbulence and modulation instability formed by the incident light and Compton scattered optical, and the equations are simulated. The results show that the even acute collapsing is induced by Compton scattering in the plasma, and the time increasing rate of the modulation instability near the plasma surface is markedly increased because of the strong Langmuir turbulence induced by the final collapsing, the modulation instability is even quickly developed, the even strong optical field peak is increased, and the clear thin wires of all the laser field is formed.