Her 72-hole total was 18-under 270 and while mastering the Sunningdale Golf Club course, the 20-year-old Shin recorded the first major championship crown in her brief professional career.
Yani Tseng (66) of Taiwan finished 15-under 273 and was the runner-up.
Overnight leader Yuri Fudoh (71) of Japan finished in a tie for tied for third place at 14-under 274 with Korea's Eun-Hee Ji (67).
Defending champion Lorena Ochoa (69) shared seventh with Momoko Ueda (69) at 11-under 277 and retiring Annika Sorenstam (68) closed her final major championship appearance with a birdie at the last hole to make her total 6-under 282, good for a tie for 24th with nine others.
"I just wish the birdie putt at the last had been for the championship," Sorenstam said.