The Quality of Service (QoS) on the traffic environment with high mobility, dynamic topology, and change trajectory is one of the challenges in the use of Vehicular Ad-Hoc Networks (VANET) Routing Protocols. PUMA routing protocol presents multicast work mechanism based on shared mesh topology. It always dynamically adapt to VANET traffic conditions. In this paper, we evaluated the PUMA routing protocol performance using the Manhattan Mobility Model with the effect of the Nakagami fading distribution in VANET. We also analyse the average node distribution in the tagged vehicle communication range using Poisson distribution. We use the NS 2.34 and VanetMobiSim for the simulation and evaluation of the performance. The performance results will be analyzed by varying the traffic parameters in the Manhattan mobility model from low to high traffic condition. The simulation result shows that the communication range under the Nakagami fading distribution affected the Quality of Service (QoS) in VANET. We found that the delay is higher compared with those in the condition without Nakagami fading. The throughput is also lower compared with those in the condition without Nakagami fading.