"Happy to report that I am back home continuing my recovery," the 45-year-old American said on Twitter.
"I will be recovering at home and working on getting stronger every day."
The single-car crash left the 82-time PGA Tour winner with a fractured right leg and shattered ankle and stunned the world of sport and beyond, with former US Presidents Donald Trump and Barack Obama among those who offered support.
Woods, who was treated at Harbor-UCLA Medical Center as well as Cedars-Sinai Medical Center, thanked his medical team as well as his fans for their well wishes.
"I am so grateful for the outpouring of support and encouragement that I have received over the past few weeks."
He capped one of the most remarkable comebacks in all of professional sport in 2019, when he broke an 11-year major drought to win his fifth Masters title.
The Los Angeles Police Department said earlier this month it was investigating data from the "black box" recorder inside the car driven by Woods but have said the incident was an accident.