A travel control method for a vehicle, the travel control method using: a first detector configured to detect an obstacle around a subject vehicle traveling in a first lane; and a second detector configured to detect a second lane adjacent to the first lane, the travel control method characterized by comprising: setting a first range at a target position for lane change in the second lane, the first range having a size equal to or larger than a size which the subject vehicle occupies on a road surface; detecting a range in the second lane as a second range, the second range in the second lane being located at the side of the subject vehicle, the obstacle being absent in the second range in the second lane; permitting the subject vehicle to change lanes when the second range completely includes the first range; detecting a travel state of the subject vehicle including a position and a speed of the subject vehicle; acquiring obstacle information including a position and a speed of the obstacle; estimating the second range after a predetermined time on a basis of the travel state of the subject vehicle and the obstacle information; and announcing announcement information to a driver of the subject vehicle so that the driver of the subject vehicle can visually confirm the announcement information, characterised by the announcement information including at least one of a disappearance range that is to disappear from the second range after the predetermined time and an additional range that is to be added to the second range after the predetermined time. a first detector configured to detect an obstacle around a subject vehicle traveling in a first lane; and a second detector configured to detect a second lane adjacent to the first lane, the travel control method characterized by comprising: setting a first range at a target position for lane change in the second lane, the first range having a size equal to or larger than a size which the subject vehicle occupies on a road surface; detecting a range in the second lane as a second range, the second range in the second lane being located at the side of the subject vehicle, the obstacle being absent in the second range in the second lane; permitting the subject vehicle to change lanes when the second range completely includes the first range; detecting a travel state of the subject vehicle including a position and a speed of the subject vehicle; acquiring obstacle information including a position and a speed of the obstacle; estimating the second range after a predetermined time on a basis of the travel state of the subject vehicle and the obstacle information; and announcing announcement information to a driver of the subject vehicle so that the driver of the subject vehicle can visually confirm the announcement information, setting a first range at a target position for lane change in the second lane, the first range having a size equal to or larger than a size which the subject vehicle occupies on a road surface; detecting a range in the second lane as a second range, the second range in the second lane being located at the side of the subject vehicle, the obstacle being absent in the second range in the second lane; permitting the subject vehicle to change lanes when the second range completely includes the first range; detecting a travel state of the subject vehicle including a position and a speed of the subject vehicle; acquiring obstacle information including a position and a speed of the obstacle; estimating the second range after a predetermined time on a basis of the travel state of the subject vehicle and the obstacle information; and announcing announcement information to a driver of the subject vehicle so that the driver of the subject vehicle can visually confirm the announcement information, characterised by the announcement information including at least one of a disappearance range that is to disappear from the second range after the predetermined time and an additional range that is to be added to the second range after the predetermined time.