A vehicle stop support system for supporting stop of a vehicle which is traveling, comprising: an abnormality detection part for detecting a physical abnormality of a driver; a candidate detection part for detecting a plurality of stop point candidates which exist in a traveling direction of the vehicle; a risk estimation part for estimating a rear-end collision risk which is a risk that, when assuming that the vehicle stops at each of the stop point candidates, the vehicle will be rear-ended by a following vehicle; a stop point setting part for setting a stop point; and a vehicle control part for controlling the vehicle to travel to the stop point and stop at the stop point, wherein the stop point setting part is operable to set, as the stop point, one of the plurality of stop point candidates which is lowest in terms of the rear-end collision risk; characterised by an allowable value setting part for setting an allowable lateral acceleration, based on the abnormality detected by the abnormality detection part; and an acceleration estimation part for estimating a lateral acceleration to be generated during traveling of the vehicle to each of the stop point candidates; wherein the stop point setting part is operable to set, as the stop point, one of the plurality of stop point candidates which satisfies a condition that the lateral acceleration estimated with respect thereto by the acceleration estimation part is equal to or less than the allowable lateral acceleration; and the abnormality detection part is operable to detect a state of consciousness of the driver, and wherein the allowable value setting part is operable, when it is detected that the driver is unconscious, to set the allowable lateral acceleration to a value less than that to be set when it is detected that the driver is conscious. an abnormality detection part for detecting a physical abnormality of a driver; a candidate detection part for detecting a plurality of stop point candidates which exist in a traveling direction of the vehicle; a risk estimation part for estimating a rear-end collision risk which is a risk that, when assuming that the vehicle stops at each of the stop point candidates, the vehicle will be rear-ended by a following vehicle; a stop point setting part for setting a stop point; and a vehicle control part for controlling the vehicle to travel to the stop point and stop at the stop point, wherein the stop point setting part is operable to set, as the stop point, one of the plurality of stop point candidates which is lowest in terms of the rear-end collision risk; characterised by an allowable value setting part for setting an allowable lateral acceleration, based on the abnormality detected by the abnormality detection part; and an acceleration estimation part for estimating a lateral acceleration to be generated during traveling of the vehicle to each of the stop point candidates; wherein the stop point setting part is operable to set, as the stop point, one of the plurality of stop point candidates which satisfies a condition that the lateral acceleration estimated with respect thereto by the acceleration estimation part is equal to or less than the allowable lateral acceleration; and the abnormality detection part is operable to detect a state of consciousness of the driver, and wherein the allowable value setting part is operable, when it is detected that the driver is unconscious, to set the allowable lateral acceleration to a value less than that to be set when it is detected that the driver is conscious.