A method and a controller for supplying a fuel to a plurality of cylinders of an internal combustion engine, in which engine operation conditions including the operating temperature of the engine are detected by various sensors attached to the engine and by using a microcomputer, and the fuel is successively supplied by being injected to the engine cylinders based on the detected engine operation conditions. The timing of fuel injection into each of the plurality of cylinders is shifted from an exhaust stroke period to a suction stroke period according to the operating temperature of the engine among the detected engine operation conditions.