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To a certain type of one dimension trajectory correction projectile as the research object, six DOF rigid body model is established. By setting different simulation conditions, the stability of the projectile before and after the damper opens is analyzed by the angle of attack, gyroscopic stability criterion and dynamic stability criterion. The influence of the damper which is in different correction ability to the projectile flight stability when it opens is analyzed. In order to ensure the flight stability the limit value of the static moment are 3 times, 3.5 times, 4 times as much as original static moment when damper opens when damper produces 3、4、5 times as much resistance coefficient as original projectile. Analyzed the influence of the damper starting time to the stability of the projectile flight. The simulation results show that the later of the damper is opened the greater impact to the projectile flight. The latest open time is analyzed of the damper in a certain correction ability.