The 33-year-old billionaire golfer made the statement on his website amid speculation that his marriage of five years to Elin Nordegren is in trouble after tabloid claims he had a relationship with New York nightclub hostess Rachel Uchitel.
Frenzied speculation about a possible relationship with Ms Uchitel began after Woods crashed his Cadillac SUV outside his Florida home in the early hours of last Friday.
Yesterday Los Angeles cocktail waitress Jaimee Grubbs alleged in a US magazine that she had a 31-month fling with Woods that began two months before Nordegren gave birth to their first child two years ago.
Meanwhile, Life & Style magazine claims the golfer has been cheating on his wife with a third woman, Las Vegas club promoter Kalika Moquin.
Nordegren reportedly used a golf club to get him out of the car following last week’s incident, which left him unconscious and with facial injuries.
He said: "I have let my family down and I regret those transgressions with all of my heart.
"I have not been true to my values and the behaviour my family deserves. I am not without faults and I am far short of perfect. I am dealing with my behaviour and personal failings behind closed doors with my family. Those feelings should be shared by us alone.
"Although I am a well-known person and have made my career as a professional athlete, I have been dismayed to realise the full extent of what tabloid scrutiny really means.
"For the last week, my family and I have been hounded to expose intimate details of our personal lives.
"The stories in particular that physical violence played any role in the car accident were utterly false and malicious."
Woods’s woes began when allegations of a six-month affair with a party planner hit US news stands on November 25, the day before Thanksgiving.
Though vehemently denied by both Woods’s lawyer and the alleged mistress, rumours that all was not well in the Woods marriage were whipped into a frenzy when the golfer crashed his Cadillac SUV into a fire hydrant and a tree outside his driveway at 2.25am last Friday.
While Woods does not elaborate on what "personal sins" he has committed, the contrite tone of yesterday’s post came amid a fresh onslaught of tabloid exposes.
Ms Grubbs claims to have met Woods at a Las Vegas nightclub the week after the 2007 Masters and says she has some 300 text messages and a voicemail to back up her allegations of an affair.
Ms Moquin, 27, has declined to comment, but sources quoted by L&S claim the pair have "hooked up a bunch of times" since October.
On Tuesday, Woods was charged with careless driving over Friday’s crash.
He faces a $164 (£99) fine and four points on his driving licence.
He added yesterday: "I will strive to be a better person and the husband and father that my family deserves," he said.
"For all of those who have supported me over the years,
I offer my profound apology."
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