The invention discloses a spacecraft tracking and forecasting method under a multi-constraints condition. Firstly, a geometric model of a station tracking and forecasting spacecraft is built to obtaina geometric observation arc segment set for the station tracking spacecraft; secondly, a non-occlusion constraint model under a spacecraft antenna right-to-ground posture steady condition is built todetermine a visible data set for the spacecraft; thirdly, a station occlusion constraint model is built to determine a time data set visible to the spacecraft by the station; and finally, the intersection among the geometric observation arc segment set, the data set visible to the spacecraft under a non-occlusion constraint model and the time data set visible to the spacecraft under an occlusionconstraint model is calculated to obtain a spacecraft tracking and fine forecasting model under various constraints. The station can accurately track the spacecraft, and the problem of inaccurate accurate of the original ground tracking arc section calculation is effectively solved.