In this paper, we will apply linear parameter-varying (LPV) control theory to the design of gain-scheduled missile autopilot. A nonlinear coupled 3-axis generic missile model is used as our design example. We will show that this model can be reduced to quasi-LPV form so that LPV design methodology can be applied. Simulation of the gain-scheduled controller with the nonlinear missile model yields excellent results and serves to validate both the quasi-LPV modeling procedure and the LPV control theory in practice.