This paper presents the results of a research concerning admission control (AC) on Wireless Mesh Networks (WMNs). At first, there is an introduction to WMNs and its problems. Later, topics as quality of service (QoS) and admission control en WMNs are presented, alluding to neural networks as an alternative to achieve the admission control in communication networks. Next, the results of different conduced test using a network simulator are presented to deem admission control under diverse scenarios in the same test topology, in order to quantify throughput of the network traffic. Lastly, both results are collate, those from using the traditional techniques and those with neural networks, based on the results of this work, the conclusions are drawn.