Stenson, 37, won only one title in 2013 on the European Tour but that came at one of the tour's biggest events -- the season-ending DP World Tour Championship. He posted a six-stroke victory over Ian Poulter in the tournament.
That title gave him the Race to Dubai championship. In September he won the Deutsche Bank Championship and Tour Championship on the PGA Tour, which helped him claim the FedEx Cup.
"It's a big honor to be voted the European Tour Golfer of the Year," Stenson said in a release. "It just reflects the stellar year I have had.
"You can call it a dream season, year of my life, whatever you want. It has been an unbelievable year and I am delighted to win this award, especially as I am the first Swede to do so."
Stenson led the European Tour with more than $4.6 million and was second, to Woods, on the PGA Tour's money list with nearly $6.4 million in earnings. The PGA figures don't include the $10 million bonus for winning the FedEx Cup.