Abstract: It is discussed in detail to control the structure-borne noise of a linear resilient compound vibration system in this paper.The influnce of both the equipment resilience and the export characteristic of vibration sources to the effectiveness of structure-home noise reduction is analysed emphantically.The force transmissibility of the compound vibration isolation system is derived when both the equipment and the foundation are resilient.The optimum mathematical model of this system is founded and the optimum analysis is made on an interesting frequency region when a frequency restrain and assembly relation restrain are considered simultaneously.