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This paper describes a consideration of a media access control scheme based on CSMA using vehicle position information for an inter-vehicle communication (IVC) system in safety driving assist systems. IVC systems are demanded to perform the real-time and reliable communication among vehicles on the road from safety driving assist systems. The IVC system in this paper can communicate among vehicles without hidden terminal problems since vehicles on an area permits to access only a corresponding subframe to the area in time frame. The frame construction of the proposed IVC system is shown and is evaluated the performance of the proposed system via computer simulations.