The pure oxygen oxygenation system with an oxygen cone as the gas-water mixing device has high oxygen dissolution efficiency, but it needs to generate a certain amount of pure oxygen and energy consumption. This paper uses relevant principles such as material balance to scientifically design the flow of pure oxygen gas into the oxygen cone and the flow of aquaculture water, analyze its operating costs, and discuss key design issues. The results show that: when the oxygen cone with a certain cone structure size is used, when the flow rate of pure oxygen gas is 14.6 L/min and the flow rate of aquaculture water is 1327.3 L/min (the water circulation volume of the aquaculture system is 79.6 m3/h), the oxygen can be 81.88%~89.07% utilized. The higher dissolved oxygen efficiency of the cone provides 1026.8-1116.9g/h of dissolved oxygen in the aquaculture system, which fully meets the dissolved oxygen demand of the recirculating aquaculture of Litopenaeus vannamei with a culture water body of 300 m3 and a culture density of 6kg/m3. The oxygen consumption of the oxygen cone is 1252.7 g/h and the power consumption is 2.9 kWh. This design provides support for improving the technical performance of the pure oxygen aeration system and promoting the wide application of pure oxygen aeration in high-density recirculating aquaculture.