Signature scheme is one of important primitives in modern cryptography, which may offer functionalities of user identification, non-repudiation, and message authentication. With the advent of identity (ID)-based public key system (IDPKS) with bilinear pairings, many cryptographic schemes and protocols based on the IDPKS system have been proposed. Though the IDPKS system has the advantage to eliminate certificate management, it is a critical issue to revoke misbehaving or compromised users in this system. Quite recently, Tseng and Tsai presented a practical revocation mechanism using a public channel for the IDPKS system. In this paper, we adopt Tseng and Tsai's revocation concept to propose the first revocable ID-based signature scheme with batch verifications (RID-SBV). Meanwhile, we discuss the several cases of batch verifications. Under the computational Diffie-Hellman assumption, we demonstrate that the proposed RID-SBV scheme is a provably secure signature scheme.