Related technologies of 
the Internet-of-things are developed rapidly and widely applied. 
Machine type communication (MTC) can 
complete data information exchange and sharing between equipment without 
active participation of a user, has the characteristics of low cost, low 
power consumption and capability of transmitting information on a large scale, and is one of the most important communication 
modes in 
the Internet-of-things. Therefore, the security of the MTC needs to be emphasized, and the 
data security of the 
user needs to be protected. The invention provides a group 
authentication methodand a group 
authentication system in asynchronous group communication of 
machine type communication equipment in an LTE network, which construct a group 
authentication scheme by utilizing a (t, n) 
secret sharing scheme of Shamir, authenticate m (m is greater than or equal to t) 
machine type communication equipment (MTCD) at one time, and ensure the legality of MTCD identity of an 
access network. Meanwhile, in the token transmission process, an ElGamal 
encryption algorithm is used to ensure the security of the authentication token in the transmission process. By utilizing the method and the 
system, the group authentication can be completed only by one-time calculation, the 
confidentiality can reach the calculation security, and each group member only needs to carry one authentication token.