Proxy signature and blind signature are useful tools in cryptography. They both have wide applications in real life. In a proxy signature, an original signer can delegate his signing power to a proxy signer who signs a message on behalf of the original signer. A blind signature has a salient feature that the signer can not make a linkage between the blind signature and the identity of the requester. Based on bilinear paring and an ID-based signature scheme, an ID-based proxy blind signature scheme is presented, which satisfies the security properties of both proxy signature schemes and blind signature schemes. A simple security analysis of the newly proposed scheme is also given.