With the increasing popularity of cloud computing, a huge amount of documents are stored on the cloud for reduced management cost and ease of access. Although data encryption offers help in some ways, it leaves other privacy concerns behind when users want to share documents with others. Otherwise, the users often share documents in the ABE settings in order to support broadcasting, error-tolerace, etc, however, the Attribute Authority will bear mounts of computations. In this paper, we combine the secure outsourced ABE systems with the keywords search while supporting multi-keyword search and search result ranking, which let the data owner securely uploads the data to a third organization and the data user can search over the ciphertext with multi-keywords and decrypt it without much computation with the help of a third server.