Abstract: In order to analyze the scattering problem of electrically large bodies of revolution more efficiently，an acceleration method for the method of moments for bodies of revolution（BOR-MOM）using multi-level adaptive cross approximation（MLACA）is present in this paper and applied on the BOR-MOM based on the triangle and 3-order Hermits basis functions respectively. The MLACA is used to accelerate the filling process of the mono- and multi-mode impendence matrices of the BOR-MOM of combined field integral equation. The computed far-field RCS matches the numerical result of the traditional BOR-MOM well and the computing efficiency is improved considerably.