Decapitation strike is an important part of modern war, which could achieve significant effect at a small cost. With the rapid improvement of unmanned aerial vehicle (UAV) swarm's ability to carry out reconnaissance and strike missions, this combat mission can be performed by UAV swarm instead of ground special forces or fighters. Based on the analysis of mission profiling, this article establishes the mission model and threat area model of decapitation strike. Then, combining Bézier curve with receding planning framework, an Optimized model for UAV swarm path planning under the condition of full coverage antiaircraft firepower is proposed. The simulation results show that the model and improved algorithm in this paper can effectively solve the path planning problem of UAV swarm in the face of full coverage threat. The research can make up for the defects of the traditional "Cross Gaps" path planning algorithm in solving the problem of crossing threat areas, and provide effective guidance for UAV swarm to perform the decapitation missions.