Micro-energy networks integrate distributed energy systems,multiple loads and control devices in parks or communities. Micro-energy networks are capable of realizing multi-energy cogeneration and co-supply functions,which are conducive to enhancing the operational flexibility and economy of multi-energy networks. To effectively cope with the uncertainty of load and new energy output within the micro-energy networks,a polyhedral uncertainty set is established to portray the fluctuation of load and photovoltaic output. An energy hub (EH) coupling matrix describing the topology of micro-energy networks and the coupling relationship between the energy flows is constructed. Then,a two-stage robust optimization economic dispatch model is established for micro-energy networks in both grid-connected and islanded operation modes to minimize the system operation cost. Linear decision rule (LDR) and duality theory are used to develop model-solving strategy. Finally,a case is carried out using micro-energy networks based on improved IEEE 33-node distribution network. The results show that LDR can effectively approximate the relationship between decision variables and uncertain variables through linear affine function within a certain accuracy range,which reduces the difficulty of solving the two-stage robust optimization economic dispatch model.