TRAVEL CONTROL METHOD AND TRAVEL CONTROL DEVICE

A travel control device detects lane boundary lines provided at the widthwise ends of a host vehicle lane in which a host vehicle is traveling and carries out travel control of the host vehicle based on the detection result of the lane boundary lines. A first prescribed position with respect to the lane boundary lines is calculated and stored during a change from a state in which the lane boundary lines can be detected to a state in which the lane boundary lines cannot be detected, and a second prescribed position with respect to the lane boundary lines is calculated and stored during a change 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 during travel in a section for which the first and second prescribed positions are stored.