Abstarct: In present thisis propose a new method baxsed capabilities of artificial neural network, to control chaotic system. To do so, we try to approximate the solution of Hamiltonian conditions baxsed on the Pontryagin minimum principle (PMP). For this purpose, we introduce an error function that contains all PMP conditions. In the proposed error function, we used trial solutions for the trajectory function, control function and the Lagrange multipliers. These trial solutions are constructed by using neurons. Then, we minimize the error function that contains just the weights of the trial solutions. Substituting the optimal values of the weights in the trial solutions, we obtain the optimal trajectory, optimal control.