A vehicle travel control apparatus comprising: abnormality determination means configured to determine whether a driver of a vehicle is in an abnormal state where the driver loses an ability of driving the vehicle; and travel stop means (10, 30 to 32, 40 to 42) configured to stop the vehicle at an abnormality determination time point onward, the abnormality determination time point being a time point at which it is determined that the driver is in the abnormal state, the vehicle travel control apparatus being characterized in that the travel stop means (10, 30 to 32, 40 to 42) is configured to control a vehicle speed of the vehicle such that the vehicle speed does not become lower than a lower limit vehicle speed at a point (px) which the vehicle reaches after traveling for a distance (x) from a current position (Pnow), in a period from the abnormality determination time point to a time point at which the vehicle is stopped, the lower limit vehicle speed being set in accordance with a road shape, the road shape influencing timing at which a driver of another vehicle traveling behind the vehicle visually recognizes the vehicle, the road shape being among shapes of the road on which the vehicle travels, wherein the travel stop means (10, 30 to 32, 40 to 42) is configured to obtain information on the road shape, and set the lower limit vehicle speed based on the information on the road shape, the travel stop means (10, 30 to 32, 40 to 42) is configured to obtain information on a radius of curvature of the road at a point ahead of a point at which the vehicle travels at a current time point as the information on the road shape, and set the lower limit vehicle speed to a higher value as the radius of curvature indicated by the information on the radius of curvature is reduced. abnormality determination means configured to determine whether a driver of a vehicle is in an abnormal state where the driver loses an ability of driving the vehicle; and travel stop means (10, 30 to 32, 40 to 42) configured to stop the vehicle at an abnormality determination time point onward, the abnormality determination time point being a time point at which it is determined that the driver is in the abnormal state, the vehicle travel control apparatus being characterized in that the travel stop means (10, 30 to 32, 40 to 42) is configured to control a vehicle speed of the vehicle such that the vehicle speed does not become lower than a lower limit vehicle speed at a point (px) which the vehicle reaches after traveling for a distance (x) from a current position (Pnow), in a period from the abnormality determination time point to a time point at which the vehicle is stopped, the lower limit vehicle speed being set in accordance with a road shape, the road shape influencing timing at which a driver of another vehicle traveling behind the vehicle visually recognizes the vehicle, the road shape being among shapes of the road on which the vehicle travels, wherein the travel stop means (10, 30 to 32, 40 to 42) is configured to obtain information on the road shape, and set the lower limit vehicle speed based on the information on the road shape, obtain information on the road shape, and set the lower limit vehicle speed based on the information on the road shape, the travel stop means (10, 30 to 32, 40 to 42) is configured to obtain information on a radius of curvature of the road at a point ahead of a point at which the vehicle travels at a current time point as the information on the road shape, and set the lower limit vehicle speed to a higher value as the radius of curvature indicated by the information on the radius of curvature is reduced. obtain information on a radius of curvature of the road at a point ahead of a point at which the vehicle travels at a current time point as the information on the road shape, and set the lower limit vehicle speed to a higher value as the radius of curvature indicated by the information on the radius of curvature is reduced.