For a certain geometric shape of liquid fuel containerCassini tank, which has a cylindrical waist and two hemispherical bottoms,and is used in a large satellite of our country,the problems of liquid sloshing and lateral forced sloshing in microgravity environment were studied by using finite element method. The finite element equations of the system were derived by means of Galerkin method. The natural frequency of sloshing and the equivalent model parameters of sloshing were obtained. For periodic pulse excitations,the numerical formulations for computing the sloshing force and momentum acting on the wall of the tank were deduced. Finally,the numerical results and some conclusion remarks were given.