Woods was transported to a nearby hospital to undergo surgery on serious but non-life-threatening leg injuries after he was extricated from the vehicle through the windshield.
It was initially reported by the L.A. County Sheriff's Department that "jaws of life" were required to remove Woods from the vehicle, but that was not the case.
The 45-year-old suffered a shattered ankle and two leg fractures, one of which is a compound fracture, a source familiar with Tiger's procedure told Daniel Miller of the L.A. Times.
Tiger's agent Mark Steinberg confirmed the initial news Tuesday morning.
"Tiger Woods was in a single-car accident this morning in California where he suffered multiple leg injuries. He is currently in surgery and we thank you for your privacy and support," Steinberg said, according to Golf Digest's Daniel Rapaport.
The PGA Tour released a statement shortly afterward, sending prayers to Woods.
Officials have not yet released the cause of the accident. However, law enforcement sources told the Los Angeles Times that Woods, who was the only occupant in the vehicle, was traveling at a high rate of speed and lost control of the vehicle before crossing the center median. Woods' SUV - a courtesy car from last weekend's Genesis Invitational - rolled multiple times before coming to a stop on its side 30 yards off the road.
"It's very fortunate that Mr. Woods was able to come out of this alive," deputy Carlos Ortiz, who was first to arrive on the scene, said, according to Golf Channel's Brentley Romine.
Ortiz also said Tiger was "calm and lucid" when he first made contact with him and noted the golfer was wearing his seatbelt.
Woods hosted his annual Genesis Invitational at Riviera Country Club in Los Angeles this past weekend. He did not compete in the event as he was recovering from a back surgery he underwent in December.
According to Rapaport, Woods was doing a two-day content shoot for Golf Digest/GOLF TV that featured a number of celebrities receiving lessons from the 15-time major champion.