In order to meet the requirements of the kinematics nano-level solution precision of the 3-RPR parallel mechanism driven by macro-micro servo,the 3-RPR kinematics model and its forward and inverse solution algorithms were studied.The 3-RPR inverse equation was derived and its analytical solution was obtained through MATLAB programming.The 3-RPR positive solution equation was established,and the positive solution was studied by numerical iteration method,neural network algorithm and neural network algorithm optimized by genetic algorithm.And its algorithm was solved by MATLAB.Through the comparison of the final solution precision,nanometer level solution precision with the shortest time-consuming can be achieved by using the neural network algorithm optimized by genetic algorithm.