Abstract: The propagation properties of soliton in the photorefractive crystal under Compton scattering is studied by using the model of the multi-photon nonlinear Compton scattering and the nonlinear Schr?dinger's equation. The results show that essence of heat-lens effect in photorefractive crystal is a result of the propagation and coupling of the solitons between the crystal and space charge field. The coupling properties not only have the relation with the relative phase of the solitons in the two wave guides，but also have the relation with the Compton scattering too. When the relative phase of the soliton is same or opposite，the energy change and the cycle change of the energy change between the two solitons can be taken place by the Compton scattering. Therefore，the overall of the soliton formed by Compton scattering is fuzzier. If the soliton propagation is along with the optic axis direction ，then，the birefraction taken place by Compton scattering is possible.