The operation of a deep-sea cage in the open sea is affected by extreme and severe sea conditions. An effective and reliable mooring system is the key to ensuring the excellent seakeeping of the cage and good aquaculture benefits. In this paper, the hydrodynamic numerical model of a single point mooring ship-type truss cage was established. And then the model was verified by comparison between numerical calculation results and physical experiment results. On this basis, two mooring types, "—" and "Y", were presented and their characteristics were compared by analyzing the dynamic response of the cage, mooring tension of the anchor chain, and minimum lying length of the chain under multiple wave conditions. After that, the mooring influencing parametric analysis was implemented from two aspects: anchor chain length and weight of clump weight. The results show that the "Y" mooring system is better than the "—" mooring system and different anchor chain lengths and clump weights have little effect on the motion response of the cage, but the increase of anchor chain length and weight of clump weight can effectively reduce the peak mooring tension and extend the length of lying chain. This research can provide the basis for the mooring analysis and optimization design of truss cages.