In this paper we provide a review of the vehicle-to-vehicle (V2V) wireless propagation channel. This "car-to-car" application will be used to improve roadway efficiency, provide unique traveler services, and can also enable safety applications that can save lives. We briefly review some currently envisioned applications and the initial V2V radio technology, then address the V2V propagation channel. Propagation basics germane to the V2V setting are described, followed by a discussion of channel dispersion and time variation. The channel impulse response and its Fourier transform, the channel transfer function, are described in detail, and their common statistical characterizations are also reviewed. The most common models for the V2V channel-the tapped delay line and geometry-based stochastic channel models-are covered in some detail. We highlight key differences between the V2V channel and the well-known cellular radio channel. These differences are the more rapid time variation and the higher probability of obstruction of the direct line of sight component; modeling of these effects has required some novel approaches. The V2V channel's nonstationary statistical behavior is addressed, as is the use of multiple-antenna systems. The remaining areas for future work are also described.