A travel following system includes a lower limit vehicle speed setting
device, an upper limit vehicle speed setting device, a vehicle speed
control device, and a control start commanding device. The vehicle speed
control device is adapted to discontinue vehicle speed control at a
vehicle speed between the lower limit vehicle speed and a vehicle speed in
a stopped state. The vehicle speed control device is also adapted to
ensure that vehicle speed control is discontinued when the vehicle speed
becomes equal to or higher than the upper limit vehicle speed, and vehicle
speed control is suspended until operation of the control start commanding
device. Thus, a moderate tension is provided to the driver during
operation of the travel following system so that braking operation can be
easily conducted and starting of the vehicle based on the driver's will
can be carried out without switching operation by the driver.