A travel control apparatus is configured to perform an overtaking travel on a host vehicle with a vehicle travelling ahead as an overtaking target vehicle during an autonomous driving of the host vehicle. In a case where the overtaking travel starts, the apparatus determines whether or not the overtaking target vehicle accelerates during the overtaking travel. In a case where it is determined that the overtaking target vehicle accelerates, the apparatus determines whether or not a front vehicle is present in front of the overtaking target vehicle. In a case where it is determined that the front vehicle is not present, the apparatus stops the overtaking travel of the host vehicle, and in a case where it is determined that the front vehicle is present, the apparatus continues the overtaking travel of the host vehicle under a predetermined condition.