Up to now all the known proxy digital signature schemes are based on discrete logarithmic problems or big number factorization problems.In this paper

we showed how to apply the idea of proxy digital signature scheme to elliptic curve digital signature algorithms by presenting a new proxy digital signature scheme based on elliptic curve discrete algorithmic problems.Furthermore

we also analyzed the new scheme's computation complexity and security problem.In the security analysis

we presented two hard problems over elliptic curves as well.The new scheme

which is an extension of elliptic curve cryptosystems

is beneficial for the construction of cryptographic schemes for solving some security problems.