A follow-up run control device controlling a running state of a vehicle in a state where peripheral vehicles running before or behind the vehicle exist includes: deviation acquiring means for acquiring information regarding a deviation between a relative positional relation and a target relative positional relation of the vehicle and the peripheral vehicles with respect to preceding vehicles running just before; and follow-up control amount calculating means for calculating a follow-up control amount of the vehicle to control the running state of the vehicle on the basis of the information regarding the deviations of a plurality of vehicles acquired by the deviation acquiring means.