Abstract: In this paper, the force method of statically indeterminate structure mechanics is used to treat the solids of revolution with discrete fixed supports. The reactionary forces of discrete fixed supports are considered as statically indeterminate unknown variables. The force-method canonical equations, in which the coefficient matrix and the right-hand vector are computed by semi-analytical finite element method, are solved. Then the finite element solution of solid of revolution with discrete fixed supports is calculated with the external loads superposed from the assigned external loads and the reactionary forces of discrete supports.