In the call, paramedics and emergency services workers can be heard calling for surrounding roads to be blocked off in Los Angeles and discussing the seriousness of the crash.
“We have a rollover with someone trapped,” one dispatcher can be heard saying.
An ambulance is then called to the scene.
Mr Woods has suffered serious leg injuries but they are not believed to be life-threatening.
The Los Angeles Sheriff’s Department says Mr Woods was conscious when paramedics arrived at the scene, just after 7am local time.
He has since undergone surgery, his manager has confirmed.
The jaws of life were used to remove him from the wreck of the car, which rolled off the road at about 7.15am.
Mr Woods was alone in the vehicle and no other cars were involved.
“Tiger Woods was in a single-car accident this morning in California where he suffered multiple leg injuries,” his manager, Mark Steinberg, said.
“He is currently in surgery and we thank you for your privacy and support.”
A KABC-TV helicopter over the wreck showed a car on its side, with its front end heavily damaged just off the side of a road near a hillside. The air bags appeared to be deployed.
There was a second crash when a vehicle that had apparently stopped to help Mr Woods got hit, Christopher Thomas, a spokesman for the Los Angeles County Fire Department, said.
That wreck was very minor, and no one was hurt.
The crash happened 32 kilometres south of downtown Los Angeles, on the border of the upscale communities of Rolling Hills Estates and Rancho Palos Verdes, officials said.
Mr Woods was in Los Angeles over the weekend as the tournament host of the Genesis Invitational at Riviera, where he presented the trophy.
He was to spend Monday and Tuesday filming with Discovery-owned GOLFTV, with whom he has an endorsement contract.
A tweet Monday showed him in a cart smiling with comedian David Spade.
This is the third time Woods has been involved in a car investigation. The most notorious was the early morning after Thanksgiving in 2009, when his SUV ran over a fire hydrant and hit a tree. That was the start of shocking revelations that he had been cheating on his wife with multiple women. Woods lost major corporate sponsorship, went to a rehabilitation clinic in Mississippi and did not return to golf for five months.
In May 2017, Florida police found him asleep behind the wheel of a car parked awkwardly on the side of the road. He was arrested on a DUI charge and said later he had an unexpected reaction to prescription medicine his back pain. Woods later pleaded guilty to reckless driving and checked into a clinic to get help with prescription medication and a sleep disorder.
– Reported with Associated Press