It is very difficult to make trajectory correction for high-speed rotating projectile because of rotating characteristic, which can not be solved by adopting the traditional correction projects. Aimed at this technology nodus, a new type of trajectory correction technology project is presented based on piezoelectricity pottery intelligent material. According to the idea that the warhead can act, the warhead correction mechanism is designed. The adding electricity mode of piezoelectricity pottery pole is regulated by detecting rotating frequency of warhead. Consequently, the flexions of the relevant pottery poles are controlled to ensure that the warhead should keep fixed directional deflection in rotating condition. Thus the rotating problem is solved. The system composition and work principle of correction projectile are also discussed amply. Simultaneously, the exterior trajectory mathematic model of correction projectile in ideal condition is founded, and the trajectory curve and detailed data are gained by simulation and calculation. The result shows that the correction project is effective and feasible.