Based on the actual situation of continuous wave (CW) laser heating target material, the three-dimensional physical model of material irradiated by CW-laser is established. Combining with the actual boundary conditions, the analytical expression of the transient temperature field of the material is deduced based on the integral transform method. The temperature rising process of material irradiated by CW-laser is simulated numerically using Matlab software, the influences of the anisotropy of the material is analysed, and the influences of the laser parameters, irradiation time and the environmental changes on the temperature rise of the material are discussed. The results show that the anisotropy of the material will lead to an asymmetric temperature rise, the temperature rise increases with the increase of laser power and irradiating time, and the convective heat transfer coefficient between the material sides and the air plays an important role in the temperature distribution of the material.