Blind signature is very important technology in secure e-commerce. Identity-based (ID-based) public key cryptosystem can be a good alternative for certificate-based public key setting. In most of pairingbased schemes, an inefficient special hash function, MapToPoint function, is used to map messages or a user?s identity into a point on elliptic curves. In this paper, we propose a new identity-based blind signature (IBBS) scheme without MapToPoint function and prove the security in the random oracle model. Our scheme supports batch verifications and has better efficiency in terms of extracting secret key, issuing and verifying over the IBBS schemes available.