The world No.7 defied some erratic play to complete a dominant four-stroke victory to sit alone at 16 under on Sunday at the Australian WPGA Championship on the Gold Coast.
Green (65, 67, 67, 69) was forced to scramble when, just as a runaway victory beckoned, she was wayward off the tee to give the field hope.
But her main challenger, Germany's Alexandra Forsterling (12 under), could only claw to within two strokes of the leader before the 29-year-old steadied to complete a popular victory.
South African Casandra Alexander dropped three shots on the first two holes playing in the last group with Green, but recovered to tie for second with Forsterling.
Green's Sanctuary Cove triumph followed an Australian Open breakthrough and victory at Singapore's Women's World Championship - her seventh LPGA title - in her previous two starts.
In doing so she became the first Australian golfer to complete a hat-trick of titles in major-tour events, something not even Karrie Webb or Greg Norman managed.
Green began the day two strokes clear and briefly had a six-shot buffer after just four holes, before successive bogeys saw that advantage reduced to just two.
A birdie at the ninth - and a Forsterling dropped shot soon after - provided welcome breathing room, before the German's birdie on the last made it a three-shot buffer with two Green holes remaining.Â
The $600,000 event, co-sanctioned with the Ladies European Tour, was being contested for just the second time and first since 2022 after the threat of a cyclone forced its cancellation last year.
It will return to the Sanctuary Cove layout next year.
Green skipped two LPGA events to remain in the country, but will seek a fourth straight win at the $US4 million Aramco Championship in Las Vegas from April 2.
After that is the JM Eagle LA Championship in Los Angeles, an event Green won in 2023 and 2024.