Thermal management in solid-state lasers is still a challenge in the development of high-energy laser systems. Introducing relative motion between the pump beam and the gain medium in the laser system is an efficient thermal management scheme. The temperature distribution of Nd∶YAG crystal was analyzed by means of finite element numerical simulation for static pumping, rotating gain medium pumping and pump-beam rotating pumping. Rotated at 800 r/min with standard heat-sinking cooling the disk temperature increased by only 16 ℃ reaching a maximum temperature of ～36 ℃, which is much lower than ～142 ℃ at static pumping. Experimentally, we designed and demonstrated a Nd∶YAG laser with the extracavity rotatory pumping, and obtained a 12.2 W output of 1064 nm with a slope efficiency of 37.2%, which is greater than the 35.1% at static pumping. The experimental results were coinciding with the theoretical simulation. The study shows that the solid state laser with extracavity rotatory pumping displays greatly enhanced thermal control.