Former US President Barack Obama, who played a round of golf with Woods during his time in office, paid tribute to Woods' determination after a difficult few years.
"To come back and win the Masters after all the highs and lows is a testament to excellence, grit and determination," he wrote.
US President Donald Trump said he loved "people who are great under pressure. What a fantastic life comeback for a really great guy!"
For BBC Sport presenter Gary Lineker, Woods' victory was the "second most thrilling sporting achievement I've seen".
The best? Leicester winning the Premier League title in 2016 as huge underdogs, of course. "There's something in my eye," Lineker tweeted. "To use a phrase once used before about Tiger Woods - 'Oh my goodness...Wow....In your life have you seen anything like that?'"
Former tennis world number one Chris Evert said: "Tiger has shown us all that you can always come back, in sport and in life, if you put in the work".
Legendary former England cricketer Ian Botham called Woods' victory "one of the biggest inspirational performances... Who said he wouldn't win another major... no. 15 and more to come".
Australian actor Hugh Jackman was also keeping an eye on proceedings in Augusta...
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