Driving force control apparatus

A driving force control apparatus mounted on a vehicle, said driving force control apparatus comprising:

• an engine;
• an automatic transmission;
• an engaging device, which has engaging elements, capable of adjusting an extent of transmission of power between said engine and said automatic transmission in accordance with a degree of engagement between engaging elements;
• a mechanical oil pump for generating a hydraulic pressure by rotation of a drive shaft of said engine;
• an electrical oil pump capable of supplying in a hydraulic pressure to said automatic transmission;
• and
• a controlling device configured to control the degree of the engagement such that power, which makes said mechanical oil pump generate a hydraulic pressure corresponding to a hydraulic difference between a first hydraulic pressure and a second hydraulic pressure, is transmitted to said engine in a condition that the first hydraulic pressure does not reach the second hydraulic pressure when shift transmission of said automatic transmission is performed in a free-run state in which the vehicle runs in a case where said engine is stopped and where the transmission of the power between said engine and said automatic transmission is blocked by said engaging device, wherein the first hydraulic pressure is a hydraulic pressure of said automatic transmission supplied by said electrical oil pump and the second hydraulic pressure is a hydraulic pressure required to perform the shift transmission.