Abstract: The emergence and rapid development of cloud computing structurally change the computation models of secure multi-party computation. In cloud environment, the computation task, the participants and the external environment of secure multi-party computation are becoming diversified and complicated. Using huge cloud resources to design and implement the secure multi-party computation protocol becomes a new research area. Cloud computing provides the resources to implement secure multi-party computation protocols, meanwhile, it also brings new challenge. In this paper, a survey for generalmulti-party computation in cloud setting, as well as some specific cloud-based secure multi-party computation protocols are given. Also, our opinions of the problem in the current researches and the directions for future works on multi-party computation in cloud setting are proposed.