1. A navigation apparatus, comprising: storage configured to store a graphic map, a photographic map, and a position of the photographic map non-matched with actual topography; a communication unit configured to receive a current position of a vehicle, wherein the communication unit includes a Global Positioning System (GPS) unit; a controller configured to receive the current position of the vehicle through the communication unit, determine whether the received current position of the vehicle is the non-matched position when a map display mode is a photographic map display mode, convert the photographic map into the graphic map to display the graphic map when the received current position of the vehicle is the non-matched position, maintain a display of the converted graphic map when the received current position of the vehicle is within a predetermined radius from the non-matched position, and convert the converted graphic map into the photographic map when the received current position of the vehicle is outside the predetermined radius from the non-matched position; and a display configured to display the graphic map or the photographic map and display the received current position of the vehicle on the graphic map or the photographic map.