Police said Woods' black 2015 Mercedes-Benz had damage to the driver's side wheel rims, two flat tires, damage to the front bumper and some scrapes and scuff marks on the rear bumper.
Woods did agree to a breathalyzer test - contrary to TMZ's inaccurate reporting on the stop - and twice blew a 0.000.
The police officer found Woods' vehicle parked on the right-hand side of the road with the motor running and the brake lights on.
According to an incident report obtained by TMZ, an investigation of Woods' Mercedes revealed what was described by officers as "fresh damage" to the auto.
The report said Woods was "extremely sleepy", and the officer observed it was hard for Woods to keep his eyes open and to walk.
Woods allegedly told police he was "coming from L.A. California from golfing".
Police said "It should be noted that Woods was headed south bound away from Hobe Sound".
The reports said Woods' pupils were dilated, and he told the officers he hadn't taken any illegal drugs. Police say golf great Tiger Woods has been arrested on a DUI charge in Florida.The Palm Be.More news: Trump to leave Paris climate deal
More news: Sato hopes win opens door for Japanese drivers
More news: Putin Meets The World He Created (Transcript)
Woods is scheduled to make his first court appearance July 5.
Woods was arrested at around 3 a.m. ET on Memorial Day and booked later that morning. One officer said that when he asked Woods where he was headed, the golfer replied that "he did not know, that he just likes to drive".
He was released at 10:50am on "his own recognisance", meaning he has given a written undertaking to co-operate with future legal proceedings.
In a statement, Woods said that he did not realise that the meds "had affected [him] so strongly". What happened was an unexpected reaction to prescribed medications.
Nicklaus holds the major championship record with 18.
"I would like to apologise with all my heart to my family, friends and the fans".
The golfer said on his website last month that he had been experiencing severe back and leg pain and recently underwent an operation to treat a damaged disc.
Woods' has struggled with a series of back injuries and has been stuck at 14 major victories since 2008, and Nicklaus suggested the chances of him breaking his record haul have gone. I identified myself as Ofc.
Woods last played at the Dubai Desert Classic in February, withdrawing after shooting an opening-round 77.