Thermal blooming is one of the most important nonlinear effects on high energy laser propagation in the atmosphere. By using the four-dimensional codes, adaptive optics systems based on stochastic parallel gradient descent (SPGD) optimization were proposed for compensating thermal blooming of high energy solid pulse laser, and the compensation effects compared with the conventional adaptive optical system. The results show that when the repetition frequency equal to 10 Hz, the pulse peak power is 500 kW, the conventional adaptive optical system is better for compensation. But when the repetition frequency of increases or the pulse peak power is increased, SPGD adaptive optical system is better than conventional adaptive optical system.