"The Masters is where I won my first major and I view this tournament with great respect," Woods said in a statement. "After a long and necessary time away from the game, I feel like I'm ready to start my season at Augusta."
The Masters begins April 8.
The Associated Press first reported his plans to return at Augusta National last Thursday.
Woods has not competed since November 15 when he won the Australian Masters for his 82nd victory worldwide. Twelve days later, he crashed his car into a tree outside his Florida home, setting off shocking revelations that he had been cheating on his wife.
"The major championships have always been a special focus in my career and, as a professional, I think Augusta is where I need to be, even though it's been a while since I last played," Woods said.
"I have undergone almost two months of inpatient therapy and I am continuing my treatment," he said. "Although I'm returning to competition, I still have a lot of work to do in my personal life."
There had been reports he would play the Tavistock Cup exhibition next week in Orlando, followed by the Arnold Palmer Invitational at Bay Hill, where he is the defending champion and a six-time winner.
"When I finally got into a position to think about competitive golf again, it became apparent to me that the Masters would be the earliest I could play," Woods said.
Billy Payne, chairman of Augusta National Golf Club and the Masters Tournament, said the club not only supported Woods' decision to make his return there, but "additionally, we support and encourage his stated commitment to continue the significant work required to rebuild his personal and professional life."
Already the major with the highest TV ratings, this Masters could be the biggest yet. The first two rounds are televised on ESPN, with CBS Sports on the weekend.
"Obviously, the ratings will be off the chart," Heath Slocum said. "It will be interesting to watch - not only the reaction from him, but from the fans, the media, the players. I would venture to say he might be nervous."
Asked about a Woods return last week, CBS Sports president Sean McManus also thought viewership would be huge: "My only prediction is when he comes back, it will be, other than the Obama inauguration, one of if not the biggest media spectacle in recent memory."
Woods twice has come into a major after a long layoff without playing, with mixed results - he missed the cut at Winged Foot for the 2006 U.S. Open after his father died, and he won the 2008 U.S. Open at Torrey Pines while playing on a shattered left knee.
Woods is a four-time Masters champion, although he has not won at Augusta National since 2005, his longest drought there.
In some respects, the Masters makes sense for golf's No. 1 player to return. Media credentials are limited regardless of who's playing or what's in the news, and Augusta National has more control of its tickets than any other golf tournament.
Those with season badges risk losing them if they violate policies, or are caught selling them.
Woods has been the biggest draw at the Masters ever since he became its youngest champion at 21 in 1997, when he broke the tournament scoring record with a 12-shot victory.
That likely won't compare to this year.
Woods' world came crashing down on November 27 when he fled his house in the middle of the night and ran his Cadillac SUV over a fire hydrant and into a tree. About that time, allegations of womanising began to emerge, and Woods' silence was replaced by rumors of what happened that night and how, as the world's most famous athlete, he could keep so many affairs a secret.
He eventually confessed to infidelity and said Dec. 11 he would take an "indefinite break" from golf. Woods spoke publicly for the first time on February 19 at TPC Sawgrass, where he confessed to cheating on his wife, Elin.
"I have made you question who I am and how I could have done the things I did," Woods said that day.
He was in a Mississippi clinic from December 31 until February 11, then went to an Arizona clinic for a week of family counseling. He returned to practice when he got home to Isleworth, and swing coach Hank Haney joined him last week.
This will be the first time Woods won't play Bay Hill, the only regular PGA Tour event he has never missed as a professional.
Meantime, the governing body of golf outside the United States said it hoped Woods would play at the British Open in July.
"We're pleased to hear that Tiger is to return to golf. ... Golf needs the world No. 1 to be playing," Royal & Ancient spokesman Malcolm Booth said.
Woods has not yet entered to play at the British Open at St. Andrews, but has until May 27 to send in his entry form. Booth says it's "normal that he hasn't" entered yet.