WASHINGTON (AP) _ The fifth Old Timers Baseball Classic will be June 23 at Robert F. Kennedy Stadium under new sponsorship, the game's managing director, Richard A. Cecil, announced Thursday.

The game, previously sponsored by Cracker Jack, a division of the Borden Co., has been taken over by Eagle Sports Group Ltd. of Concord, Mass.

The formation of Eagle Sports Group was announced Thursday at the National Press Club. The firm's founders are Richard W. Kazmaier, John R. Cooper and Cecil.

Kazmaier, The Associated Press male athlete of the year in 1951 and a former Heisman Trophy winner while at Princeton, is currently president of the National Football Foundation and the Hall of Fame.

Cooper has served as president and chief executive officer of the Indianapolis Motor Speedway.

Cecil is a former vice president of the Milwaukee and Atlanta Braves and was the former president of the North American Soccer League's Atlanta Chiefs.

''Washington has been a great city for our game as the fan support has shown for the past four years,'' said Cecil, as he described the rapport that has developed between the players and the fans from the Washington area.

As in previous years, donations from the game's receipts will be made to the Association of Professional Ball Players of America, an organization which aids ill or indigent baseball personnel. The classic has donated more than $200,000 to the APBPA since the first Old Timers Classic in 1982.