Abstract: To strengthen proxy signature security, and based on the analysis of blind signature scheme in being, this paper proposed a proxy signature scheme based on the hyperelliptic curve cryptography.Furthermore, it analyzed the security problem.Through transplanting a proxy signature arithmetic into hyperelliptic curve cryptography, it proposed a proxy signature arithmetic which was based on the hyperelliptic curve cryptography.Proxy signature scheme based on the hyperelliptic curve cryptography is better than that of elliptic curve cryptography on performance of security.It plays a better role in electronic commerce and network security.