Woods, 43, was tied for second going into the final round on Sunday at Augusta National Golf Club in Georgia, but pulled into the lead on the back nine and won as his family looked on.
It is the first time Woods has won a major when he did not have a lead or co-lead after 54 holes, his first win at The Masters since 2005, and his first majors title in 11 years.
On the 18th green, the patrons went wild and began chanting 'Tiger, Tiger' as Woods sunk his final putt to win the tournament, completing a dizzying final round and one of the biggest fairytale comebacks in sports history.
The crowning moment follows Woods' troubled marriage and 2010 divorce, a life-changing lumbar fusion surgery in 2017, and the humiliation of arrest months later when he was found asleep at the wheel of a car sitting in a traffic lane.
The champion's mother Kultida Woods, 75, his two children Charlie and Sam, and his girlfriend Erica Herman, 35, embraced him as he walked off the green.
It is Woods' first win at The Masters since his father Earl Woods, who introduced him to golf at the age of two, died from a heart attack in 2006.
It comes after years of personal and health struggles for Tiger Woods, who at one point considered retiring from the PGA Tour.