With the explosive growth of surveillance video data, browsing videos quickly and effectively has become an urgent problem. Video key frame extraction has received widespread attention as an effective solution. However, accurately capturing the local motion state changes of moving objects in the video is still challenging in key frame extraction. The target center offset can reflect the change of its motion state. This observation proposed a novel key frame extraction method based on moving objects center offset in this paper. The proposed method utilizes the center offset to obtain the global and local motion state information of moving objects, and meanwhile, selects the video frame where the center offset curve changes suddenly as the key frame. Such processing effectively overcomes the inaccuracy of traditional key frame extraction methods. Initially, extracting the center point of each frame. Subsequently, calculating the center point offset of each frame and forming the center offset curve by connecting the center offset of each frame. Finally, extracting candidate key frames and optimizing them to generate final key frames. The experimental results demonstrate that the proposed method outperforms contrast methods to capturing the local motion state changes of moving objects.