To facilitate the operation for showing the starting intention of a driver.

An accelerator pedal is retained in a prescribed follow-up control stop position c during a follow-up control stop, the increase in operation of the accelerator pedal 21 from the follow-up control stop position c is detected, and the start of a preceding vehicle is detected during the follow-up control stop. When the increase in operation from the position c of the accelerator pedal 21 is detected, the follow-up traveling to the preceding vehicle is restarted. Accordingly, the intention starting can be shown only by increasingly operating the accelerator pedal, and the operability and safety in preceding vehicle follow-up traveling can be improved.