Public key encryption with keyword search applies only to the certain circumstances that keyword ciphertext can only be retrieved by a specific user and only supports single-keyword matching. In the existing searchable encryption schemes, either the communication mode is one-to-one, or only single-keyword search is supported. This paper proposes a searchable encryption that is based on attributes and supports multi-keyword search. The proposed scheme allows keyword ciphertext to be inquired correctly by multiple users if and only if the users defined by a series of attributes satisfy the access structure. This can realize the multi-user information query. In particular, the keyword of the user query does not need to match the keyword ciphertext exactly. The keywords in the ciphertext simply determine whether the keyword belongs to the set of keywords which are used for encryption. Extensive analysis indicates that the proposed scheme is secure and efficient.