A method for controlling an internal combustion engine is provided, which includes defining a first area in which the engine operates in a stoichiometric combustion mode and a second area in which the engine operates in a lean combustion mode, on an operation map defined by the engine load and speed, and causing a controller to determine that an operation point on the operation map shifts from the first area to the second area based on signals from an accelerator opening sensor and a crank angle sensor, predict a length of time that the operation point stays in the second area, switch a combustion mode to the lean combustion mode when the predicted time is longer than a given period of time, and maintain the stoichiometric combustion mode when the predicted time is shorter than the given period of time.