A broad survey of current literature detailing the current state-of-the-art and future research trends in vibration isolation for current and proposed space systems is presented. Terminology for vibration control is first defined. Next, the vibration isolation problem is discussed taking into account nonlinearities of variable parameters. It is followed by a discussion of some current space specific applications, illustrating the tremendous importance of vibration control technology for space and the challenges these applications present. Next, a discussion of vibration control elements is provided. Finally, a summary of semi-active control strategies is presented and conclusions are drawn about the state of the art.