Compared with the traditional experimental modal analysis,operational modal analysis based on the vibration response transmissibility does not need to excite the measured system.So it has the advantages of simple test steps and wide application.However,the current operational modal analysis method based on the vibration response transmissibility is just in its start-up step up to now,and the unified and orderly theory system has not formed.This paper shows the theory system and the research achievement of the operational modal analysis based on the vibration response transmis-sibility,and used it in optical precision instruments.