Many oblivious transfer (OT) protocols have been proposed, however, most of them the security is assured in the random oracle model. Naor and Pinkas proposed 1-out-of-n OT which does not need random oracles. In this paper, we extend the 1-out-of-n OT to k-out-of-n OT protocol. Our protocol is efficient in the sense of both communication complexity and computation complexity.