Photos and footage of the SUV that Woods was driving show a "Genesis Invitational" logo on the side of the vehicle, which was resting on its side after the crash in the Los Angeles area.
Woods sustained leg injuries and was in surgery after the collision, his agent, Mark Steinberg, said in a statement.
He was driving the Genesis GV80, the Hyundai luxury brand's only SUV.
"This morning, Genesis was saddened to learn that Tiger Woods had been in an accident in a GV80," Genesis spokesman Jarred Pellat said in an email. "Our thoughts and prayers are with Tiger and his family at this time."
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Woods promoted Genesis last weekend during the PGA Tour's Genesis Invitational, where the winner, Max Homa, received a new GV80.
The 2021 Genesis GV80 carries a starting price of nearly $50,000. It has a 14.5-inch horizontal touchscreen on the center console and an 8-inch digital instrument panel. It has 10 airbags, a forward-collision warning system, evasive steering technology and an interior camera that alerts the driver if they're falling asleep.
The GV80, which has earned plaudits from critics for its design, competes with vehicles like the Jeep Grand Cherokee, Mercedes GLE, BMW X5 and Lincoln Aviator. It is offered in two- or three-row versions.
Genesis is the luxury brand sold by Korean automaker Hyundai. It has earned praise for its reliability and craftsmanship.
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Follow USA TODAY reporter Nathan Bomey on Twitter @NathanBomey.