The Stewart platform is widely used in motion simulator, optics, precision positioning, and other fields. However, due to the complex multivariate nonlinearity, it is difficult to accurately obtain the forward kinematics solution. Aiming at the problem of forward kinematics solution of Stewart platform, conventional methods such as iterative method and numerical method have problems such as difficulty in selecting initial values and slow calculation speed, a forward kinematics solution method based on Elman neural network is proposed. First, the kinematics model of the leg length and platform kinematics of the Stewart platform is established, and then the Elman neural network is used to solve the forward kinematics solution and experimentally verify it. This method has sound dynamic characteristics, high accuracy, and can quickly and accurately solve the forward kinematics solution of Stewart platform. Experiments prove the effectiveness of the method.