<p>The potential benefits of economically and environmentally optimized, multi-energy source, integrated energy systems are significant. To realize these, fair and competitive incentives must, however, be established. In this study, an innovative mechanism is proposed and developed for enhancing low-carbon behavior through a spatio-temporal restricted carbon pricing scheme in a trading system. In its hierarchical structure, an upper level deals with energy supply and a lower level deals with localized consumption. In its upper level, a mechanism for minimizing overall cost for energy supply is derived, and in its lower level, maximization of region-wise consumer surplus is attained through restricted spatio-temporal pricing and localized carbon credits. To maintain accuracy, a high-fidelity carbon emission (CE) flux model is adopted in both its two levels of the scheme. In addition, the mechanism incorporates capabilities for emissions savings through use of power-to-gas (P2G) technology and for dealing with uncertainty in the marketplace through conditional value at risk (CVaR) analysis. To evaluate its performance, a case study for a comprehensive integrated energy system, comprising an augmented IEEE 24 grid and a 19-bus gas grid, is performed and analyzed. In its simulation studies, its capabilities in enhancing low-carbon consumption, minimizing cost for energy supply, and curbing a significant proportion of carbon emissions are unequivocally confirmed. Specifically, its analysis reveals a significant 43.2% drop in carbon emissions when compared with conventional approaches. In conclusion, through its demonstration, its effectiveness in supporting efficient and economically feasible multi-energy source systems that are both economically and environmentally optimized and environmentally friendly is cogently supported through its analysis and simulation studies conducted in this work.</p>