Tangled multi-party dialogue context leads to challenges for dialogue reading comprehension, where multiple dialogue threads flow simultaneously within the same dialogue history, thus increasing difficulties in understanding a dialogue history for both human and machine. Dialogue disentanglement aims to clarify conversation threads in a multi-party dialogue history, thus reducing the difficulty of comprehending the long disordered dialogue passage. Existing studies commonly focus on utterance encoding with carefully designed feature engineering-based methods but pay inadequate attention to dialogue structure. This work designs a novel model to disentangle multi-party history into threads, by taking dialogue structure features into account. Specifically, based on the fact that dialogues are constructed through successive participation of speakers and interactions between users of interest, we extract clues of speaker property and reference of users to model the structure of a long dialogue record. The novel method is evaluated on the Ubuntu IRC dataset and shows state-of-the-art experimental results in dialogue disentanglement.