There were 77 sub-par rounds shot at the Ko Olina Golf Club and there were 13 players within three shots of the lead.
Jutanugarn, whose sister Moriya had a round of 69, eagled the par-5 14th hole and had a stretch of five birdies over seven holes beginning at the par-4 third.
Suzann Pettersen and Hee Kyung Seo shared second place at 65 while Danielle Kang and Huo Joo Kim both had a 66.
Michelle Wie, trying to get things going after what has been a disappointing season to date, opened with a 70 and was in a tie for 27th place.
Celebrity Families of 2014 [PHOTOS]