At present, the typical targets in the air are mainly high-speed impact bodies such as fragments, which pose a great threat to aviation equipment such as drones. It is urgent to study the impact resistance of different initial conditions of fragments to honeycomb sandwich structures. The fragment impact experiment analyzes the fragment flight attitude, fragment power, failure mode, and impact resistance of the structure by changing the different impact velocities on the target plate. In order to study the damage mode and anti-damage performance of several composite honeycomb sandwich structures under oblique penetration impact mode, a total of six groups of composite honeycomb structures were tested by fragment impact sandwich structure at different angles, and the damage law of composite honeycomb sandwich structure in the experiment was compared and analyzed. According to the experimental results, the accuracy of the theoretical model and numerical simulation was verified by fragment impact composite honeycomb sandwich structure. The analysis results show that the failure mode of the composite honeycomb sandwich structure under oblique impact is quite different from that of the traditional structure, which is mainly reflected in the material accumulation type of the failure part. Compared with the traditional structure, the composite honeycomb sandwich structure exhibits better energy absorption efficiency, which is increased by 130% and 600%, respectively. This paper shows the different failure modes of honeycomb sandwich structure under oblique impact and positive impact. The existence of an inclined angle changes the failure mode, increases the damage range, and increases the total energy absorption. It is necessary to further study the failure mechanism of fragment flight angle on honeycomb sandwich structure and provide a reference for the impact resistance design of the structure.