LEXINGTON, Ky. (AP) _ Churchill Downs already is receiving ticket requests for the 1988 Breeders' Cup Day championship, track president Thomas Meeker said Monday.

''The demand for tickets has already hit us,'' Meeker told the Kentucky State Racing Commission. ''We're averaging 25 tickets a day from all over the world.

''Everything indicates a high level of interest, not only in the commonwealth, but in the United States.''

He said seven meetings already have been held in preparation for racing's richest day, and that a public hearing will be held Thursday at the Louisville track to report the progress made for the Nov. 5, 1988 races.

Meeker briefed the commission on the contract with Chrysler Corp. to sponsor the Triple Crown races at Churchill, Pimilico and Belmont racetracks over the next two years. He said ABC-TV and Triple Crown Productions are also party to the pact.

''We think the things we've been doing with the Triple Crown has been good not only for the tracks, but also for racing,'' he said, adding that Chrysler will have television promotions of the races next spring.

He said the design for the lottery game involving the Kentucky Derby, Preakness and Belmont Stakes has not been completed. GTECH was given the rights to produce and market the game in September.

Meeker said it was important for the tracks to become involved because ''the lottery industry is clearly the fastest growing gaming industry in the world ... They have a market share that equals and sometimes surpasses that of the racing industry.''

He added that the lottery ''would be able to increase awareness of racing in the United States'' in areas where lotteries are the dominating form of gambling.