In view of the problem of bad control effect of constant deceleration braking system of hoist with common PID control mode and fuzzy control mode, the paper proposed a design scheme of constant deceleration braking system of hoist based on fuzzy wavelet neural network. The system uses wavelet basis function as fuzzy membership function, uses self-learning ability of neural network and good local characteristics of wavelet basis to enhance self-adaptive ability of fuzzy control, and uses genetic algorithm to train displacement factor and dilation factor of wavelet basis function as well as connection weights of controller, thus achievs global optimization of the network parameters. The simulation result with Matlab showed that the system has good dynamic performance and higher control precision.