Abstract: The forward secure searchable encryption scheme has attracted widespread attention because it can resist the file injection attacks. It ensures that after the document is updated, the newly added document will not disclose the keyword information of the previous document. As for as the forward secure searchable encryption scheme is concerned, improving its security and operation efficiency is the current research hotspot. However, in order to improve security, the existing forward secure searchable encryption schemes often only support single-keyword query or sacrifice part of the query function. Aiming at the problem of privacy leakage and imcomplete search function during documents update in searchable encryption, a forward secure searchable encryption scheme supporting conjunctive keyword search is proposed. The scheme uses a cuckoo filter on the cloud server to filter documents that meet the query conditions, and supports dynamic update operations. The ciphertext equality test technology is introduced to hide the keywords and search without revealing the keywords and documents information in the search phase. Security analysis and experiments show that the proposed scheme achieves adaptive security, provides multi-keyword search, supports flexible update operations and efficient, so it is more suitable for practical application scenarios such as data outsourcing and email systems.