The invention discloses a public key password system based LTE wireless network security certification system. The method comprises the steps of distributing public key certificates to an entity UE and MME participating in the AKA process; improving the process of EPS AKA protocol; encrypting through the public key password system; synchronously removing the sequence number SQN system of the original protocol, and verifying by the random number answer mode; simplifying the calculation of authentication vector AV, namely, removing the original MAC, XRES and AUTN and other parameters. With the adoption of the method, the security of the EPS AKA protocol can be improved, and the expandability can be improved; the method is relatively high in flexibility; as the development of the LTE technology, the method can be applied to a plurality of situations, in particular suitable for LET enterprise exclusive network with high security requirement, such as power wireless exclusive network.