Major problem of IEEE 802.11 based Vehicular Ad-hoc Network (VANET) is traffic congestion. The traffic congestion occurs due to unnecessary bandwidth usages, high vehicle density, excess increase in transmission power and immediate topology changes in a vehicular ad-hoc network which leads to excessive packet loss and lowers the safety of the applications. Under such conditions, all the transmitted packets from the source may not be delivered to the destination. Vehicles unaware of the traffic congestion increase the difficulty of it by eventually joining it. Many congestion control techniques have been proposed, but still, the problem arises. In this paper, we propose Distributed alpha-Fair Transmit Power Adaptation Based Congestion Control in Vehicular Ad-hoc Network to discover and reduce traffic congestion using the transmit power control and optimum node selection for cooperative VANET in the framework of the utility function optimization. The proposed system has better performance as compared to DFAV, DV-CAST, and UV-CAST regarding packet reception probability, average packet delivery ratio, and average end-to-end packet delivery delay in Vehicular Ad-hoc Network (VANET).