In the context of the "carbon peaking and carbon neutrality" goal and energy marketization, the City Regional Integrated Energy System (CRIES), as an important participant in the energy market, pursues low-carbon development as its most important goal. Without a reasonable market participation structure and a comprehensive low-carbon evaluation system, it will be difficult to meet the needs of CRIES for low-carbon development in the energy market. Therefore, this paper first proposes a

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... suitable for CRIES to participate in the energy market, and under the influence of the operating characteristics of the energy market, proposes an evaluation index system suitable for CRIES' low-carbon capabilities in the energy market. The analytic network process–criteria importance through intercriteria correlation (ANP-CRITIC) method is used to determine the subjective and objective weights of each indicator, and the comprehensive weight of each indicator is calculated by the principle of moment estimation to achieve a quantitative evaluation of the low-carbon capability of CRIES in the energy market. Finally, taking a CRIES as an example, the analysis verifies that the proposed evaluation model and method can scientifically and comprehensively evaluate the low-carbon capability of CRIES in the energy market. The results show that the CRIES low-carbon capability evaluation results of different market schemes can be improved by up to 24.9%, and a fairer market transaction mechanism can promote the low-carbon development of CRIES.