The 43-year-old has capped off a remarkable return to golf's top echelons following persistent back problems and troubles in his personal life, which almost led him to an early retirement from the sport he adores.
Tiger Woods has won a fifth Masters.
In a final round that was played in threesomes off both tees to stay ahead of approaching thunderstorms, Woods grabbed the outright lead for the first time with a two-putt birdie at No. 15.
Woods served notice he had returned to form by contending last year at the British Open and PGA before snapping a five-year title drought by capturing the Tour Championship.
Woods's girlfriend Erica Herman, mother Kultida and two children Sam and Charlie watched while a massive gallery roared as he marched up to the 18th green to put the finishing touches on a milestone victory.
"Even when guys were shooting 64 on Saturday, I was just kind of going around, just handling my business, work your way up the board and make sure that I keep myself in the event".More news: Hazard shines for Chelsea
Tiger Woods has bounced back from a 10-year lean spell to win the US Golf Masters at Augusta.
The comeback is complete.
A 15th major success was secured in sensational fashion on Sunday as Woods overhauled Francesco Molinari's two-shot overnight lead to prevail by one stroke.
The 43-year-old Woods started Sunday's final round joint second with fellow American Tony Finau, while Molinari was the man to catch, starting the day at 13-under 203.
"Running the numbers on how long it'll take me to get to 15".
Augusta National moved the final round to Sunday morning due to storms expected to arrive in the afternoon, when leaders would typically be battling for the title.