It has been proved by large number of experiments that gas film damping has great influence on MEMS structures. Based on the elastic and material mechanics, this paper built a linear-vibration model for the electrostatic actuated micro-beam. According to the rarefied gas dynamics theory, a kind of modified Reynolds equation is adopted in the system modeling. In view of the study on small deflection of micro-beam has been investigated already by many researchers, this paper focus the research on large beam deflections, i.e. the mid-point deflection can be compared with the thickness of the gas film. The dynamic characteristics of micro-beam are investigated through coupling the dynamic vibration equation with the modified Reynolds equation. Through the finite difference method, the discrete form of the coupled dynamic equations has been obtained.