In general, people watching a live streaming program would sit and wait for its broadcasting at the very beginning. However, some of them could not do so and inevitably join in the middle of live program because of unexpected events. This situation would unfortunately result in an incomplete viewing experience, causing viewers not enjoying the full entertainment value of the live program and therefore dissatisfaction with the quality of services. In this paper, we propose the Dynamic Bandwidth Adjustment for Instant Replay of live streams on BitTorrent networks (DBAIR), which in addition to downloading the live content, the surplus bandwidth in a peer is allocated to pre-download broadcasted highlights, providing viewers with the ability to watch instant replays of missed live content. In such a system, the length or popularity of a highlight can be used to determine how to allocate the surplus bandwidth needed to download highlights. Once a user decides to watch a certain highlight, if the allocated bandwidth and the pre-downloaded video chunks does not guarantee smooth playback, bandwidth used to download other highlights can be sequentially borrowed. The experimental results show that with the aid of DBAIR, the time of completely downloading a highlight can be significantly shortened, resulting in better quality of experience.