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Secure communication using hyperchaos has a better potential performance, but hyperchaotic impulse circuits synchronization is a challenging task. In this paper, an impulsive control method is proposed for the synchronization of two hyperchaotic Chen circuits with linear or nonlinear delays. Based on the Lyapunov theorem and some analysis techniques, the sufficient conditions for the synchronization of chaotic system with time delay are obtained. The upper bound of the impulse interval is derived to assure the synchronization error system to be asymptotically stable. Simulation and circuit experiment validated the proposed method for correctness and feasibility.