A driving control device for a vehicle in which one of a front-wheel side and a rear-wheel side is driven by an engine and an other of them is driven by a motor, reduces a driving force by the motor to recover a grip and estimates a road friction coefficient. The driving control device further transmits an engine driving force to drive wheels, and temporary increases the motor driving force in accordance with the engine driving force and the motor drive wheel grip limit line according to an estimated road friction coefficient.