Vehicular ad hoc networks (VANETs) establish the connection between the vehicles through wireless communication. This link stability is significant for achieving traffic safety and traffic efficiencies. But sharing security messages in the mobile environment is very complex because of the excessive speed of the vehicles, unsteady communication links, and geographically constrained topologies. A Roadside Unit is vital for vehicle connection with the transportation center. We proposed Tri-Parametric FUZZY logic (TP-FUZZY) for establishing the stable connection in VANET. The proposed Tri-Parametric FUZZY Logic effectively addresses the complexity of the vehicles’ excessive speed, etc. We have considered the combination of normal-speed vehicles containing a high data rate and the shortest distance for forming the clusters. The cluster head (CH) concept is implemented to monitor and control the entire mechanism. The FUZZY Logic executes the automatic selection of the next CH if the current CH triggers exit from the cluster. It ensures the overall cluster mechanisms stability. The proposed simulation results prove that Tri-Parametric FUZZY logic performance in the aspect of Packet delivery ratio, Dynamic cluster head changes, Routing overhead, End to end delay and Energy consumption is more effective than the other existing mechanisms. Thus, the proposed TP-FUZZY is a prominent solution for establishing reliable link connectivity in the VANET.