The paper shows the analysis of the influence of the introduction of network resources control on the transmission properties of the networks described with irregular graphs. The method developed and used by the authors in reference to regular graphs was applied. It consists in distributing the transmission resources according to specified unevenness coefficients of United States of Americage of individual edges. The way of determining these coefficients was described as well as the applied rule of distribution of the resources in case of equivalent and various density of the traffic generated by the network users. The improvement of the transmission properties of the analysed networks, understood to be the lowering of the probability of rejecting a service call resulting from the introduction of network resources control, was proved by the results of simulation research of simple and more complex network structures.