A drop-off assist device includes: a processor configured to determine that there is a possibility that a target approaching object passes by a door of a host vehicle when a second object is not present between the target approaching object and the host vehicle, correct the predicted movement path based on a position of an edge of the second object when the second object is present between the target approaching object and the host vehicle at a timing of setting the target approaching object, determine that there is the possibility that the target approaching object passes by the door of the host vehicle when the corrected predicted movement path is the path that passes by the door of the host vehicle, and issue an alarm when determining that there is the possibility that the target approaching object passes by the door of the host vehicle.