In this paper, an equivalent source shooting and bouncing ray (ES-SBR) method is proposed to combine with Method of Moments (MoM) for scattering of electrically large thick cavity with complex terminal. The hybrid is achieved by plane wave expansion (PWE) and the generalized reciprocity integral (GRI) method. Different from the traditional SBR method, the far- field integral formula of the ES-SBR method is established by equivalent source to ensure the consistency of scatterings from the exterior cavity and the interior cavity. In contrast to the existing method limited to thin and deep cavity, the proposed ES- SBR-MoM method is applicable for arbitrary shape cavities. Due to the reusability of PWE scattering matrix, the proposed ES-SBR-MoM method greatly improves the efficiency of cavity scattering analysis and has great application prospect in the rapid design of low scattering cavity.