Abstract: With the high-speed development of information and network, big data has become a hot topic in both the academic and industrial research, which is regarded as a new revolution in the field of information technology. However, it brings about not only significant economic and social benefits, but also great risks and challenges on individuals’ privacy protection and data security. Currently, privacy related with big data has been considered as one of the greatest problems in many applications. This paper analyzes and summarizes the categories generated by big data, the privacy properties and types in terms of difference reasons, the challenges in technologies and laws and regulations on managing privacy, and describes the differences of the current technologies which handle those challenges. Finally, this paper provides an active framework for managing big data privacy on the actual private problems. Under this framework, we illustrate some privacy-preserving technology challenges on big data.