The supervision on ecological security of marine ranching (MRESS) refers to the supervision and management for the behavior of marine ranching enterprises (e.g., development and utilization of resources, governance and protection of environment, etc.) by government departments to ensure that the resources and environment in the areas of marine ranching meet the needs of ecological security. The MRESS has great influences on realizing the functions of marine ranching such as environmental protection, resource conservation, and fisheries' sustainable production. Firstly, the participants involved in the game of MRESS are analyzed to be government departments and marine ranching enterprises, and then their strategy sets within a revenue matrix are introduced from two dimensions of "making supervision or not" and "paying attention or not". The evolutionarily stable strategies in the game of MRESS are solved by employing duplicate dynamic equations and jacobian matrices, based on which the stability analysis and simulation of solutions are both implemented and the suggestions for MRESS are also presented. The results reveal that the critical influence factors in the game of MRESS include the penalties to marine ranching enterprises which are careless to ecological security, the revenues of government departments on the MRESS, and the probabilities of successful surveillance by the external supervision forces. Accordingly, the MRESS suggestions are proposed to help protect the ecological security of marine ranching, e.g., strengthening penalties for those careless marine ranching enterprises, increasing the revenues of government departments, constructing and improving the mechanism for MRESS, performing the external supervision forces' duties.