With the rapid development of information technology, Big data has become a hot topic of research in governments, academia, and enterprises. On the one hand, Big data brings opportunities that are not available by small‐scale data in many fields, such as business, education, and healthcare. On the other hand, due to the huge amount, the development of Big data is still facing many security and privacy issues in the whole lifetime of Big data. Security and privacy issues not only plague users and businesses, but also create obstacles to the expected opportunities and progress of Big data. In this study, we first review challenges in Big data security and privacy, especially considering the challenges in different lifetime of Big data. Then we review four popular secure technologies: homomorphic encryption, secure multiparty computation, attribute‐based encryption, and anonymous protection in social network. Based on the reviews, we identify recommendations and 3 possible directions for security and privacy protection of Big data.