Abstract: Searchable encryption can be used to search the encrypted data which is stored in the cloud. By using searchable encryption, we can guarantee the security of the data without losing operability. Multi-user searchable encryption enables users to share their data to others without revealing their data to the cloud server. In our scheme, we make the encrypted data re-encrypted when the data is required, but not every time the user sends data to the cloud server. That can make our scheme more efficient. We use a different way to generate the trapdoors, and the trapdoors in our scheme is easy to compute and shorter than the existed scheme.