The 15-time major winner underwent surgery at the Harbor-UCLA Medical Center to stabilise compound fractures of his tibia and fibula, after the grisly accident on Tuesday.

"Woods was transferred to Cedars-Sinai Medical Center for continuing orthopaedic care and recovery," Harbor-UCLA Medical Center interim CEO Anish Mahajan said on the hospital's Twitter account on Thursday.

"It was an honour to provide orthopaedic trauma care to one of our generation's greatest athletes."

The Los Angeles County Sheriff has said Woods, 45, will not face any charges over the crash.

Woods, who recovered from numerous surgeries to break an 11-year major drought and win the 2019 Masters, has received an outpouring of support from friends, athletes and former US Presidents Donald Trump and Barack Obama in the wake of the crash.