Abstract: Micro-energy network is an important form of multi-energy coupling on the user side, and the access of a large number of micro-energy networks has a significant impact on the reliability of energy supply. In view of the insufficient research on the micro-energy network operation mode and the energy support method in the current reliability evaluation, the reliability evaluation method of the electricity-gas-heat coupled system considering the energy support of the micro-energy network is proposed. According to the inter-network support and multi-energy support, five types of micro-energy network operation modes after failures are defined: parallel operation, incomplete island independent operation, incomplete island coordinated operation, complete island independent operation, and complete island coordinated operation. A framework for failure impact analysis and reliability evaluation considering the operation mode of the micro-energy network is constructed. The static islanding method based on the power circle is used to determine the island range and operation mode of the micro-energy network. A unified multi-energy load dynamic reduction model of island is established, which suits various micro-energy network operation modes. The calculation results show that after the failure, the multi-energy coupling and the coordinated optimization operation of micro-energy grids on the user side could realize the efficient support between the electricity-gas-heat system and support more important loads.