Interconnection between power infrastructure and gas networks is of great importance especially with the occurrence of restructuring in such energy systems, which can be investigated by evaluating the effect of each network on the performance and efficiency of the other interconnected network. This paper aims to propose a robust energy management framework of integrated power infrastructure and gas networks considering the effect of renewable energy sources and gas/non-gas fired power generation plants. The main objective of the proposed robust framework is to provide a robust decision-making process against uncertainties associated with power system parameters such as energy market prices. Consequently, the robust optimization method will be implemented to study the uncertain parameters of the integrated network. In addition, the proposed model aims to investigate the effect of interconnectivity between power infrastructure and gas networks (i.e., power system and natural gas network constraints) on the daily schedule of power generation plants, gas suppliers, and performance of the networks. The proposed model is applied to a 6-node natural gas network and a modified 6-node electric power system with the penetration of renewable energy sources to investigate the performance of the proposed model.