The present invention later, the present invention relates to a method and apparatus for displaying a three-dimensional graphic to indicate the like of the surrounding terrain according to the moving object location, such as a vehicle, by the method using the position and movement information of the moving object, at a predetermined time predicting a candidate region of the moving object position display point; Loading a three-dimensional graphic data corresponding to the predicted candidate region to the moving object location memory; And characterized by including the step of displaying and rendering the data corresponding to the peripheral area of the movable body position of the three-dimensional graphic data of the display the time when the load on the memory. According to the present invention, in the case to be displayed in 3-D graphics to the surrounding terrain according to the movement of the moving object, etc. car navigation or 3-dimensional games, to the moving object is located at the point and then displayed with the current position and motion information of the moving object after the prediction region by rendering the three-dimensional graphic data corresponding to the prediction region only loaded into memory, using a small amount of memory it is possible to effectively display a three-dimensional graphics without interruption.