The proxy signer has the capability to sign on behalf of the original signer in the proxy signature scheme. The elliptic curve digital signature algorithm (ECDSA) is the elliptic curve analogue of the digital signature algorithm (DSA). In this paper, we propose a new proxy signature based on elliptic curve cryptography (ECC) In order to overcome the security threats and weaknesses in existing schemes. The scheme uses enhanced one-way hash function based on elliptic curves discrete logarithm problem (ECDLP), which has a low computational cost and small key size. This paper discusses related security, working efficiency and reliability issues.