Ray Floyd shot a seven-under-par 64 on the Tournament Players Club of Connecticut course today to take a two-stroke lead after the first round of the $600,000 Canon-Sammy Davis Jr.-Greater Hartford Open.

Floyd, the leading money-winner in the field, had seven birdies and 11 pars in leading a group 46 players who broke par over the par-71, 6,800-yard golf course.

Greg Norman, Hubert Green, Ron Streck, John Cook, Hale Irwin and John Mahaffey each had 66s to share second place. Four Tie in LPGA United Press International

MONTREAL, July 25 -- Alice Miller, the 1985 LPGA leading money-winner, shot a four-under-par 68 today to tie with Chris Johnson, Laurie Rinker and Sally Little for the first-round lead of the $300,000 Du Maurier Classic.

U.S. Open winner Kathy Baker, Amy Alcott, Patti Rizzo, Jane Crafter and Sue Fogleman each shot 69. Langer, 2 Others Tie United Press International

NOORDWIJK, Holland, July 25 -- U.S. Masters champion Bernhard Langer shot a four-under-par 68 today to share the lead with Swede Mats Lanner and Australian Graham Marsh in the opening round of the $182,000 Dutch Open.

PGA money leader Curtis Strange, who missed last week's British Open, shot an opening-round 71.