Stanford is 13 under going into the final round Saturday, ahead of Hyo Joo Kim and Michelle Wie at 9 under.
Stanford, a five-time LPGA winner, finished the day with six birdies and one bogey, one day after taking the tournament lead with a 64 in the second round.
''I kind of found something (here) and for some reason I just have a really good feel on these greens,'' Stanford said. ''It's been a lot fun watching the ball go in.''
Stanford birdied two holes in a row on the front nine, getting to 10 under with a birdie on the par-5 fifth hole. She moved to 13 under with birdies on Nos. 11, 12 and 13.
Wie shot 2 under in the third round and is tied with the 18-year-old Kim, who shot a 69 on Friday.
Wind gusts were up to 20 mph across the fairways at Ko Olina Golf Club, a resort area in west Oahu, according to the National Weather Service.
''It's hard,'' Stanford said. ''It's hard for everyone - you just have to be patient.''
Wie, who played with Stanford, had bogeys on Nos. 7 and 18.
''It was kind of a like a head-scratcher kind of day. A lot of putts didn't end up where I thought they would,'' Wie said.