The security and privacy has become key issues in the RFID system.The information to be transmitted needs to rotate left according to the random number generated by reader,a cyclic shift of the lightweight mutual authentication protocol(CSLMAP) is put forward on the basis of Lightweight Mutual Authentication Protocol(LMAP),and then GYN logic is used to prove the safety of the proposed protocol.The result shows that the new protocol solves the problem of security and privacy in the Lightweight Mutual Authentication Protocol,and improves the efficiency of the authentication protocol,thus reducing the cost of the application of tags.