An anti-collision control is provided under circumstances where it is determined that there is a risk of collision between a host vehicle and a preceding vehicle. The anti-collision control utilizes host vehicle information, preceding vehicle information, and surrounding road conditions to determine whether or not a collision with the preceding vehicle can be avoided through a steering operation. If avoidance is determined to be possible, then a shift-hold control is applied to the AT, whereas if avoidance is determined to be impossible, then a down-shift control is applied to the AT.