To provide a system capable of transmitting race information unique to each player during a race.

The system is provided with a portable information terminal 3 for transmitting player identification data for measuring the elapsed time at the point of time at which the players 1 and 2 pass through a plurality of race points Pa and Pn set in a route to have the race and for receiving and displaying player-unique information generated by processing the elapsed time and the player identification data, a player data processing means provided with a communication medium 11 for receiving the player identification data, measuring the elapsed time, processing them and generating the player unique information, and a Pocket bell (R) system distribution part 10 for distributing the player-unique information to the players 1 and 2. The portable information terminal 3 is provided with a transmission means for transmitting the player identification data, a receiving means for receiving the player unique information and a display means for displaying the player unique information.