Recent years,micro turbine engine has been a hot research center in the world.For micro turbine engine, the gas bearing and high speed rotor dynamics is one of the key technologies.To solve the question of rotor structure design and crital speed,this paper conducted Relevant studies .First, the mechanism of gas bearing was intruduced,and the equivalent stiffness was calculated.Then a Jeffcott rotor mounted on the gas bearings was established, and the critical speed was calculated. It is found that the critical speed is obviously influenced by gas bearing’s parameters including eccentricity, length and clearance. The conclusions derived in this paper would have an important value for the micro turbine engine rotordynamics design.