In this study, the authors propose an analytical model to evaluate the maximum stable throughput for unicast services in vehicular ad hoc networks. In this respect, the authors employ two queueing networks (QNs) to model the mobility patterns of the vehicles as well as the multi-hop packet transmission scenario. In the proposed model, the authors map the features of IEEE 802.11, as well as the details of multi-hop packet transmission, regarding the dynamic status of vehicles, onto suitable parameters of the QNs. In the authors' modelling approach, they take the details of MAC and routing schemes into account by classifying the vehicles based on their mobility patterns and considering their dynamic status in average. By writing traffic equations and applying the stability condition, the authors compute the maximum stable throughput of the network, that is, the maximum rate of packets successfully received at the destinations while all vehicles are in stable conditions. In the last part of the study, the authors show the effect of some network parameters onto the maximum stable throughput and confirm the validity of their model by simulation.