Laser crystal discs are commonly used in high power laser systems. However, thermal effects caused by laser operation can lead to distortions and defects in the crystal. In this study, we perform a thermo-elastic analysis of a Nd:YAG laser crystal disc during laser operation. Our finite element model accounts for temperature-dependent material properties and thermo-elastic coupling effects. The results provide insight into the temperature distribution and induced stresses within the crystal disc under different laser pumping conditions. This analysis can help optimize laser crystal design and pumping strategies to minimize thermal distortions.