TRAVEL CONTROL METHOD AND TRAVEL CONTROL DEVICE

A travel control device carries out a travel control for a vehicle based on detected lane boundary lines. A first prescribed position, an absolute vehicle position and an absolute vehicle azimuth angle are stored while changing from a state where the lane boundary lines can be detected to a state where the lane boundary lines cannot be detected. A second prescribed position is stored while changing from a state in which the lane boundary lines cannot be detected to a state in which the lane boundary lines can be detected. The host vehicle is controlled to travel along a travel path connecting the first prescribed position and the second prescribed position where a current absolute position and a current absolute azimuth angle of the host vehicle do not deviate by a prescribed value or more from the stored absolute position and the stored absolute azimuth angle.