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In this work, we revisited the ZGB model in order to study the behavior of its phase diagram when two well-known random networks play the role of the catalytic surfaces: the Random Geometric Graph and the Erdös-Rényi network. The connectivity and, therefore, the average number of neighbors of the nodes of these networks can vary according to their control parameters, the neighborhood radius α and the linking probability p, respectively. In addition, the catalytic reactions of the ZGB model is governed by the parameter y, the adsorption rate of carbon monoxide molecules on the catalytic surface. So, to study the phase diagrams of the model on both random networks, we carried out extensive steady-state Monte Carlo simulations in the space parameters (y, α) and (y, p) and showed that the continuous phase transition is greatly affected by the number of neighbors per node while the discontinuous one remains present in the diagram throughout the interval of study.In this work, we have revisited the ZGB model in order to study the behavior of its phase transitions through extensive equilibrium Monte Carlo simulations on two different and well-known random networks: the Random Geometric Graph (RGG) and the Erdös-Rényi network (ERN). These two networks are used as prototype for communication patterns and the connections between their sites follow precise rules defined by their control parameters.This paper is organized as follows: in Sec. II we describe the ZGB model and its phase diagram, as well as the two random networks considered in this study. In Sec. III we show our main results and present the discussions about our findings. Finally, the conclusions are presented in Sec. IV.