A control strategy was proposed for air-to-air missile with blended lateral thrusters and aerodynamic control systems based on the fixed-time convergence sliding mode control and the dynamic control allocation. First, a fixed-time convergence sliding mode controller was designed by using the longitudinal dynamic model of the air-to-air missile to obtain the virtual control moments required by the overload of the missile, and the convergence of overload tracking error was realized in a given time. Then, with the dynamic control allocation, the required control moments were mapped into the control commands on the aerodynamic deflector and the lateral thrust engine array respectively. Third, on the basis of the Lyapunov theory, it was proved that the system which could quickly converge to the equilibrium point is fixed-time convergence. Finally, simulations were carried out to demonstrate the effectiveness of the control strategy.