In the field of video content analysis and understanding, it is important to make good perception of spatial and motion features of objects in the video. However, in practice, object movement often mixes up with the camera movement which conceals the objects’ true trajectories. The camera movement, also named as globalmotion, which is induced by the movement of camera, is ubiquitous in the current popular we-media videos. To reveal the true object motion from the trajectories obtained from tracking algorithms, we propose a global motion estimation algorithm based on L1-norm minimization, and obtain the real motion trajectory of the foreground object, where the global motion compensation is realized. Experiments show that our algorithm could accurately estimate the inherent various global motions and restore the true motion trajectories effectively.