A driving game machine provided with a road data memory for storing coordinate data of a road set in a game space, a player's car controller for controlling the running of a player's car on the road according to a player's operation, and a display processor for displaying an image within a field of view set in advance. The road has a start point and a goal point, a running course from the start point to the goal point has a plurality of branched roads in its intermediate positions. The player's car controller causes the player's car to run in a direction selected at each branching point in accordance with a player's operation. This makes it possible for a player to freely choose the course while competing with his rivals.