A communication technology which enables the information exchanges between vehicles to support intelligent transportation system is the characteristic of vehicular ad hoc network (VANET). The vast applications of VANET including transportation safety, traffic management, and passenger amenities are also followed by some technical challenges. The rapid topology changes and high nodes mobility are the main source of the challenges. One of the prominent challenges is the handover decision, especially in vehicle to vehicle (V2V) communication. In this paper, handover decision method for V2V VANET is proposed using fuzzy system. The proposed method adjusts the value of received signal strength (RSS) hysteresis adaptively using fuzzy system so that the proposed handover decision method is called fuzzy adaptive hysteresis (FAH). To adjust the value of hysteresis, fuzzy system utilizes RSS value, speed difference, and connected time as the input. Based on the simulation results, the proposed method can reduce handover rate as well as maintaining the higher value of signal to noise ratio (SNR) average.