Starting the last round one shot behind Ryu Hae-ran was the 25-year-old American.
On a windy Texas day, she scored a three-under 69 to finish on 13 under, winning her second major by two strokes.
Annika Sorenstam (2005) and Nancy Lopez (1978) are the only other players to have won five straight LPGA events.
With a birdie on the final hole, world number one Korda completed his round in fine fashion and remarked, “That felt like the longest back nine of my entire life.”
“The back nine was a little bit of a grind, but I’m satisfied.”