A running control apparatus for a vehicle includes a required driving output deciding unit that decides a required driving force of a driving system of the vehicle on the basis of an integrated value of a difference between a target vehicle speed and an actual vehicle speed, a driving control unit that controls the actuation of the driving system on the basis of the required driving force, and a determination unit that determines whether or not the required driving force is unrealizable in the control of the driving system due to the intervention of additional control. The required driving output deciding unit imposes a limit on an increase or a decrease in the required driving force when the determination unit determines that the required driving force is unrealizable in the control of the driving system.