Abstract: his paper presents the coupled vibration finite element equations ofliquid combustible and structure,according to the control equations in fluid field,thestructure dynamics equations and the conditions of liquid and structure interface.Some examples are given. According to the results of calculation,the coupled vibration problem of liquid combustible and structure in satellites with large quantities ofliquid combustible and the importance of coupled vibration analysis of liquid combustible and structure during the development stage of satellite are discussed.