In the process of wavefront correction, the thermal deformation appears on deformable mirrors(DMs) radiated by high-power continuous wave (CW) laser, leading to the additional wavefront distortion to the incident laser, and further the restriction of the correction ability of deformable mirror and the degradation of the beam quality. A prediction model of deformable mirror with thermal deformation radiated by high-power continuous wave laser is presented based on Zernike polynomial decomposition. According to the prediction of the thermal deformation of the deformable mirror, the control signal of the actuators have been obtained by finite element simulation, and further control the actuators to compensate the thermal deformation distribution of the deformable mirror in real time. Simulation results indicate that,the self- correction method can compensate the thermal deformation distribution of the deformable mirror effectively and reduce the influence of thermal deformation on the correction ability of the deformable mirror. As a reference, the local heat transfer method can only reduce the piston and defocus of the distorted wavefront caused by the thermal deformation of the deformable mirror to a certain extent, and the effect on beam quality is not efficient enough. However, the self-correction method can eliminate almost all the optical path difference caused by the thermal deformation of the deformable mirror and further improve the beam quality effectively.