The navigation device of the present invention has a storage device which stores map data including link data of respective links constituting roads on a map, and statistical data including travel time (moving speed) which is determined by statistical values of traffic information collected in the past, with respect to each of the links. Then, the navigation device uses for each departure time candidate, the map data and the statistical data of collection conditions corresponding to the statuses upon passing each of the route constituting links which constitute the route, so as to obtain the travel time for each of the route constituting links. Thereafter, the travel times of respective route constituting links thus obtained are summed up, and the travel time between the departure position and the destination is obtained.