Development of applications in uncertain data management area derives various kinds of queries. Among these, Top-k query has attracted considerable research attention which is an important query type and returns the most important k objects based on some characteristic values. Because of the uncertainty of application data, traditional Top-k methods and techniques could not be directly applied to query on uncertain data. In this paper, a new Top-k algorithm based on binary-tree named BTreeU-Topk is provided under existing Top-k algorithms on uncertain data. BTreeU-Topk algorithm utilizes binary-tree to simply representation of possible worlds space. To further improve the efficiency of the proposed algorithm, pruning technique is adopted and the BTreeOPTU-Topk and BTreePU-Topk algorithms are proposed. BTreeOPTU-Topk algorithm adopts optimized queue to prune branches not in final results while BTreePU-Topk algorithm utilizes pruning rule. Experimental results show that the proposed BTreeU-Topk, BTreeOPTU-Topk and BTreePU-Topk algorithms are superior to existing algorithms in two aspects: different data distributions and increase of k values. In addition, the quantity of maintained states is reduced by our proposed algorithms.