A spectrum sharing game model in core network of transoceanic aeronautic networks is proposed.The model considers gain of both the primary user and all secondary users.Primary user can allocate the spectrum effectively to the secondary users under their largest profit.Secondary users will change request bandwidth to gain maximum profits according to the primary user’s best unit pricing.The static game Nash equilibrium and dynamic game convergence results is presented.Comparing with the optimizing model

the model is proved to solve the spectrum sharing problem well in the transoceanic aeronautic networks

thus verify the fairness of the Nash equilibrium.