A vehicle running control apparatus, which performs automatic running control by controlling an engine for applying a driving torque to a vehicle C and a brake device for applying a braking torque to the vehicle C such that a vehicle speed of the vehicle C becomes equal to a preset target vehicle speed, determines, on the basis of a target driving torque ETo calculated to apply the driving torque to the vehicle C and a target braking torque BTo calculated to apply the braking torque to the vehicle C, whether or not the vehicle C is running on a road difficult to run on, when automatic running control is performed. When it is determined that the vehicle C is running on the road difficult to run on, automatic running control is terminated.