Woods collected his fourth consecutive award from the GWAA and fifth overall. Sorenstam has won two in a row and four total. Irwin won for the third time.
They will be honored at the GWAA's annual awards dinner April 9 at Augusta, Ga.
Woods won six tournaments worldwide. He became the first player in 30 years to win the first two legs of the Grand Slam when he captured his second straight Masters title and the U.S. Open. He also won the PGA Tour money list and scoring title for the fourth straight year.
Sorenstam had one of the best seasons ever on any tour, winning 13 times around the world. She set or tied 20 LPGA Tour records.
Irwin, 57, won four times and became the first player on the Champions Tour to earn more than $3 million in one year.