JoAnne Carner shot a one-under-par 71 to take a five-shot lead after 54 holes in the World Championship of Women's Golf yesterday in Cleveland.

If Carner wins, it would be her 35th victory and put her in the LPGA Hall of Fame. The $50,000 first prize, the biggest in the women's sport, would increase her earnings this year to $248,109. Beth Daniel holds the one-year record with $231,000 in 1980.

So far, Carner, 43, is the only player in the field to break par and her 213 is three under. Amy Alcott is second and Jan Stephenson third at 219 . . .

Juli Inkster is in Colorado Springs looking for her third straight U.S. Amateur women's championship and defeated Lisa Kluver, 2 and 1, to advance to the final against Cathy Hanlon. Hanlon, who has lost only four holes in five matches, upset Lindy Goggin, 6 and 4. The 36-hole final is scheduled today . . .

In the $350,000 PGA Buick Open in Grand Blanc, Mich., Payne Stewart and Curtis Strange tied at 12-under-par 204 after three rounds.

They have a three-stroke lead over Peter Jacobsen, Bob Eastwood, Tom Kite and defending champion Hale Irwin.

In Syracuse, on the PGA Seniors Tour, Don January shot two-under-par 69 to share the lead with Bill Collins after three rounds of the $150,000 Greater Syracuse Seniors Golf Classic. Collins shot his second straight 71 for a 54-hole total of two-over 215 and a one-stroke lead.