Control apparatus of internal combustion engine and method thereof

A control apparatus and method of an internal combustion engine performs a predetermined stop control of the engine that includes a control to stop the supply of fuel to the engine upon establishment of a predetermined stop condition, and a re-start control that includes a control to restart the supply of fuel to the engine in response to the establishment of a predetermined re-start condition. The apparatus has a stop control discontinuing device for discontinuing the stop control if the re-start condition is established within a predetermined period between establishment of the stop condition and a stop of the engine.