The traditional fuzzy neural PID control algorithm is prone to the problem of poor control effect caused by improper adjustment of network parameters. This paper presents a fuzzy neural network PID control algorithm optimized by improved grasshopper algorithm. Aimed at the problem of insufficient traditional algorithms of grasshopper particle diversity firstly introduced Levy random flight strategy, secondly introduce nonlinear reduction factor and simulated annealing algorithm to improve the optimization ability and the ability to jump out of local optimal solution, then the improved grasshopper algorithm combined with fuzzy neural PID neural network is optimized by super parameter and control parameter self-tuning, Finally, the simulation results verify the superiority and reliability of the proposed improved grasshopper algorithm to optimize the fuzzy neural network PID algorithm.