In this paper, the damping characteristics for electrostatically driven micro mirror which have deep grooves on their driving electrodes were investigated. A coupled simulation of gas flow and structural displacement of the micro mirror using the Finite-Element-Method is applied to this. The damping farce is caused by squeeze action of the gas film between a moving mirror plate and the electrodes. The grooves decrease the damping force and enable the moving plate to be driven at high speed and low driving voltage.