Summarization of video can well represent the content of video. In the MPEG-1/2 standard key frame is used for representing the content of a video sequence. Similarly, in an object-based framework of the suggested MPEG-4 standard, key video object can summarize the content of video objects. In this paper, an interactive key video objects selection model (IKVOS) is presented as the result of improving the model of key video objects selection (KVOS). The model of KVOS is proved to satisfy the criterion of induction. Also, the course of IKVOS is formalized and the model of IKVOS is proved to satisfy the criterion of coinduction. It can dynamically generate key video objects with user’s preference. The experimental results are given, as well as the evaluation of the performance of the proposed method whose distortion rate is lower than the current methods.