Abstract: This paper uses the computational fluid dynamics method to analyze the suitability of stabilizer fins and the hull. An isolated fin model under open water condition and the model of the fin added on the hull are set up， using the parameters of a zero-speed fin and the dimension parameters of a destroyer ship model. Firstly， the static hydrodynamic characteristics of the isolated fin model and the model of the fin added on the hull under high speed are simulated and analyzed. Secondly， the dynamic hydrodynamic characteristics of the isolated fin model and the model of the fin added on the hull under high speed and low speed are studied via a dynamic mesh method. The results show that when the fins are added on the hull， the lift coefficient is greatly improved， even though the stall angel of the isolated fin at the same angel of attack becomes larger. Also， in both high speed and low speed conditions， the added fins produce better results than isolated fins， yet at the same time the resistance and the required torque becomes lager. In brief， this paper provides a reference for further discussion involving the hydrodynamic performance of fins.