In this paper, an intelligent integral terminal sliding mode control method with a new sliding surface is proposed based on adaptive neural-fuzzy inference. First, a terminal sliding mode controller using a novel sliding surface is designed based on Lyapunov’s stability theorem for controlling a class of chaotic systems in presence of uncertainty and disturbance. The proposed sliding surface is a combination of the conventional terminal sliding surface and integral of a nonlinear function of the states of the system. The purpose of choosing this surface includes achieving appropriate response speed, removing chattering and robustness against external disturbance. Then, we assume that a nonlinear part of the system is unknown and only input-output data is available. Therefore, an adaptive neuro-fuzzy inference system is used to approximate the unknown part of the system dynamics. Finally, in order to enhance the performance of the proposed method, the honey bee algorithm is utilizd for selecting the coefficients of integral terminal sliding mode controller. The simulation results show the effectiveness of the controller due to the improved speed, removed chattering, appropriate transient response and satisfactory performance in the presence of uncertainties in the system model.