The former World Number one, who is recovering from back surgery, was stopped at while driving in Jupiter, Florida and went into custody at 8am UK time.
Woods was taken to Palm Beach County Jail and released at 15:30.
The alleged incident comes just days after Woods insisted he was back on track and determined to play golf again.
The 14-time major champion was forced to miss 15 months of action with a back problem.
But after a positive return in December, Woods withdrew from the Dubai Desert Classic in February with ongoing back spasms.
He then miss the Masters in April and underwent a fourth operation on his back.
Woods said last week: “It has been just over a month since I underwent fusion surgery on my back, and it is hard to express how much better I feel. It was instant nerve relief. I haven’t felt this good in years.
“The long-term prognosis is positive. My surgeon and physiotherapist say the operation was successful. I’m walking and doing my exercises, and taking my kids to and from school. All I can do is take it day by day. There’s no hurry.
“But I want to say unequivocally, I want to play professional golf again.”
In 2009, another incident whilst driving led to the end of Woods’ marriage to Elin Nordegren.
Woods crashed his car into a fire hydrant and tree just days after claims of infidelity.
