Woods shot a final round of two under par 70 to finish at 13 under, one stroke clear of Dustin Johnson, Xander Schauffele and Brooks Koepka.
The win comes 22 years after his first win at Augusta in 1997, and 14 his since his previous triumph on the course in 2005.
A USA gambler was probably as excited as Tiger Woods over his victory at the Masters.
As is tradition, last year's champion, Patrick Reed, put the jacket on Ryder Cup team-mate Woods and uttered "Yea buddy!" as he did so.
The victory also marked the first time Woods had reached the winner's circle at major without leading after 54 holes.
Tiger Woods has won a fifth Masters. From the sex scandal that ended his marriage, to the four back operations that culminated in a spinal fusion two years ago, he has made headlines for all the wrong reasons.
Woods sent his drive at 10 way right, forcing him to chip out and leading to a bogey.
"Then I was trying to get a five on the last [hole]".