The invention relates to the technical field of power generation of a fuel cell, and discloses an energy internet-based methane fuel cell system. The energy internet-based methane fuel cell system has the following structures: an air supply sub system is connected with an air heat exchanger; a methane supply sub system is connected with a methane heat exchanger; a water supply sub system is connected with a water evaporator and a water heater separately; the air heat exchanger is connected with the methane heat exchanger, the water evaporator and the water heater in sequence; the water heater is connected with the methane supply sub system and a heat supply network; the methane heat exchanger and the water evaporator are connected with a reformer separately; the air heat exchanger and the reformer are connected with a solid oxide fuel cell sub system separately; the solid oxide fuel cell sub system is connected with a combustor and then connected with the air heat exchanger; the solid oxide fuel cell sub system is connected with one end of an electric energy output sub system; and the other end of the electric energy output sub system is connected with a power grid for realizing efficient combined heating and power. The invention also discloses an operation strategy of the energy internet-based methane fuel cell system.