Abstract: There is an unsolved contradiction between the computation and memory of the Von Neumann computer.So many problems of engineering mechanics haven’t breakthrough because of such reason as large computation scale，etc.Therefore，new theory and method of computational mechanics need to be developed to solve above problems.Solving method of finite element and neural network design are studied.The neural network of finite element solving is obtained on the basis of Hopfield neural network that is reformed and avoids using of high-gain transfer function in the circuit.Then the no error solving of finite element neural net computation is realized in theory.