To solve the problem of the attack area of the new type guided bomb, the dynamic model of guided bombs is built under the constraint conditions. The performance function with a weighted combination of the lateral and longitudinal ranges of the guided bomb is introduced, and the attack area problem is turned into the optimal control problem. Then, Gauss Pseudo-spectral Method is used to solve it. The impact of the speed and Flight Path Angle (FPA) at the starting control point of the guided bomb on the attack area is analyzed. The simulation results show that: 1)Gauss Pseudo-spectral Method can effectively solve the problem of the attack area of the guided bomb, and the attack area of bombs is increased with the speed and FPA;and 2)When the trajectory angle is larger than zero, the increasing of FPA has a relatively small impact on the attack area.