In a vehicle travel control apparatus configured to determine a target acceleration of an own vehicle based on an inter-vehicle distance to a predicted cutting-in vehicle predicted to cut in between the own vehicle and a following target vehicle as well as an inter-vehicle distance to the following target vehicle, it is necessary to notify a driver of the presence of the predicted cutting-in vehicle at an appropriate timing. A cutting-in probability, which is a probability that the predicted cutting-in vehicle carries out the cutting in, is acquired, and information on the predicted cutting-in vehicle is notified to the driver from a time point when a state where the cutting-in probability is higher than a start probability threshold has continued for a predetermined period to a time point when a state where the cutting-in probability is lower than an end probability threshold has continued for a predetermined period.

A vehicle traveling control apparatus of the invention stops a vehicle by causing a braking force applying device to apply a braking force to the vehicle after determining that a driver is under an abnormal state. When a stop of a control for maintaining a vehicle at a stopped state is requested while a shift lever is set at a range other than parking and neutral ranges, the apparatus limits a driving force requested for a driving force supplying device to supply to drive wheels, to a value smaller than a driver's requesting driving force.