By using the idea of open-plus-closed-loop(OPCL) control, a controller com-posed of an external excitation and a linear feedback is designed to entrain chaotic tra-jectories of Mathieu-Duffing oscillator to its periodic and higher periodic orbits. The global basin of entrainment of this open-plus-closed-loop control is proved by combining the Lyapunov stability theory with a comparative theorem of initial value problems for second-order ordinary differential equations. Numerical simulations are performed to ver-ify the theoretical results.