A stop position control apparatus of an internal combustion engine is applied to a vehicle having of a motor or a generator connected to a crankshaft of the engine, such as an economic-running vehicle and a hybrid vehicle. A rotation position of a motor generator is detected by a motor angle sensor, and a crank angle of the engine is detected by a crank angle sensor. A stop position of the internal combustion engine, at the time of stoppage is estimated based on the rotation position of the motor generator and the crank angle. By utilizing the results, the stop position of the internal combustion engine can be accurately estimated. By detecting a rotation direction of the crankshaft, the stop position of the engine can be accurately estimated even when the engine is rotated in the reverse direction at the time of the engine stopping.