The large-scale access of distributed renewable energy to microgrid challenges its stable operation． Aiming at the uncertainty of renewable energy output in microgrid and coordination of power supply and heating，an interval linear programming model considering the uncertainty of renewable energy output and user thermal comfort is established． The uncertainty of renewable energy output in microgrid is described by interval mathematics，and the load curve is optimized by combined with demand response． At the same time，considering the fuzziness of the user’s heating comfort and the thermal inertia of the heating area，it is proposed to use the user’s thermal comfort index to convert the traditional heat load moment balance into indoor temperature to meet the requirements of human comfort，so as to coordinate the problems of power supply and heating． The example results show that the proposed optimization model has good robustness，reduces the economic cost and realizes thermoelectric decoupling while effectively dealing with the uncertainty