Lippold等提出可证安全的无证书两方认证协议,但协议要求较大的计算量.基于Cash,Kiltz和Shoup提出的双diffie-hellman问题,提出新的无证书认证密钥协商协议.与Lippold的协议相比,新协议具有相同的消息带宽,并且降低了计算复杂度.最后,基于CDH假设和BDH假设,在随机预言模型下证明了协议的安全性. Lippold et al proposed a certificateless secure certificateless protocol, but the protocol required a large amount of computation.Based on the double diffie-hellman problem proposed by Cash, Kiltz and Shoup, a new certificateless authentication key agreement protocol was proposed.Compared with Lippold , The new protocol has the same message bandwidth and reduces the computational complexity.Finally, based on the CDH assumption and the BDH assumption, the protocol security is proved under the random oracle model.