The goal of this paper is to control the trajectory of the flight path of six degree of freedom flying body model using Model predictive control (MPC) controller. MPC controller with constraints will be developed and able to compensate for constraints that represent physical limits of actuators in pitch and yaw angles. The design of MPC controller with linear system for the six degree of freedom flying body is described. MPC controllers are computationally intensive because an on-line optimization problem is formed and solved at each control cycle. Keywords-six degree of freedom missile model, Linearization model, Model predictive control.