Woods, 34, and Nordegren, 30, issued an amicable joint statement, saying they were sad to be ending their six-year marriage, wishing each other the best and promising to work together for their children's happiness.
"We are sad that our marriage is over and we wish each other the very best for the future," it said.
"While we are no longer married, we are the parents of two wonderful children and their happiness has been, and will always be, of paramount importance to both of us."
In Nordegren's petition for divorce, filed at the beginning of July, she claimed the marriage was "irretrievably broken" and asked for her maiden name to be restored.
Woods and Nordegren attended Monday's execution of the divorce at a court in Panama City, Florida, where they agreed to "share parenting" of their children. Both had attended the obligatory parenting classes, the court documents showed.
Woods wed Nordegren, a former model, in October 2004 in Barbados and the couple have a three-year-old daughter, Sam, and a 19-month-old son, Charlie.
"Once we came to the decision that our marriage was at an end, the primary focus of our amicable discussions has been to ensure their future well-being," their joint statement said.
"The weeks and months ahead will not be easy for them as we adjust to a new family situation, which is why our privacy must be a principal concern."
Nordegren's lawyer, contacted by AFP, could provide no information about the terms of her divorce settlement, valued in media reports at anywhere between 100 million and 500 million US dollars.
Woods's spectacular fall from grace began on November 27 last year when he crashed his car into a tree and a fire hydrant near his Orlando home.
The incident touched off a massive sex scandal, leading to his admission of adultery and subsequent decision to put his golf career on hold while he tried to rescue his marriage.
"It may not be possible to repair the damage I've done, but I want to do my best to try," Woods wrote on his website. "I am deeply aware of the disappointment and hurt that my infidelity has caused to so many people, most of all my wife and children."
Long seen as an ambassador for a new generation of golfers, Woods's previous clean-cut image had earned him record sponsorship deals and a place in the select pantheon of globally-known sports stars.
According to Forbes business magazine, he was the first athlete to have broken through the billion US dollars earnings mark.
That image was decimated in the weeks after the car crash as a string of women, including a porn star, a cocktail waitress and a Las Vegas club manager were romantically linked to the sporting superstar.
Later Woods apologized publicly to Nordegren for igniting the tabloid frenzy in which more than a dozen women claimed affairs, saying he had been "living a lie" and admitting to "doing some ugly things."
In what was widely seen as a bid to save his marriage, Woods was treated for sex addiction at a clinic in Mississippi before making his highly anticipated comeback at the US Masters in March.
Returning at the Augusta National -- a comfortable setting where he has captured four titles, his first in 1997 being the first major crown won by a black golfer -- Woods finished a respectable fourth.
Since then, however, a string of performances ranging from mediocre to poor have seen many question whether the 14-time major winner is capable of recapturing the form that saw him dominate the game for a decade.
A disappointing tie for 28th earlier this month at the PGA Championship at Whistling Straits in Sheboygan, Wisconsin came just one week after the worst performance of his career when he finished second to last at the World Golf Championships-Bridgestone Invitational.
Nine months after the sex scandal first broke, Woods enters this week's opening event of the US PGA Tour season-ending playoffs without a win this year.
Stripped of his invincible aura, he ranks only 108th in the points race and could at any moment lose his number one ranking.
Without a good finish at The Barclays starting on Thursday in New Jersey, it could be his final outing of the season, as only the top 100 qualify for the next event.
US Ryder Cup captain Corey Pavin is yet to say if Woods will be one of his four wild-card picks for the Ryder Cup -- the biennial tournament against the best European golfers -- contested this October at the Celtic Manor in Wales.
© 2010 AFP
This story is sourced direct from an overseas news agency as an additional service to readers. Spelling follows North American usage, along with foreign currency and measurement units.
Tiger Woods and wife Elin divorce after sex scandal
Tiger Woods and wife Elin divorce after sex scandal
Tiger Woods and wife Elin divorce after sex scandal
Tiger Woods and wife Elin divorce after sex scandal
Tiger Woods and wife Elin divorce after sex scandal
