Abstarct: This thesis examines the scientific principles, Design and Optimization of MEMS Vibratory Gyroscopes. This thesis first deals short overview on MEMS technology and the most important parameter in this type of construction equipment . Then the vibratory gyroscopes is introduced, and the design principles of MEMS vibratory gyroscopes are discussed in general mechanical and electrical. The adaptation of drive and sense modes, effective factors such as resonant frequency, bandwidth, damping and quality factor Is explained and different models and their dynamic equations is investigated. This thesis approaches the gyroscope mechanical retrofitting against structural and environment changes, as an idea and a new way, trying to optimize the system's gyroscope.