Curry aced a 152-yard par three at the American Century Championship on Saturday, just the fifth in the history of the event held on the shores of Lake Tahoe in Nevada.
He celebrated the hole-in-one by tossing away his cap and sprinting the length of the fairway, arms raised in celebration and soaking up the applause.
On Sunday, he drained a long eagle putt on the 18th to beat former tennis world number seven Mardy Fish, prompting chants of "MVP!"
"Knowing what the stakes were and accepting it, I've always dreamt of a situation like this on the 18th green in front of a crowd like that, to make the putt," he told NBC Sports.
"You stick to the routine and have so much confidence in yourself ... Thankfully it went in, which is insane. I've been playing for almost a decade, to finally get a win is pretty special."
Curry is only the second basketball player to win the tournament since the 54-hole event began in 1990. Former Sacramento Kings guard Vinny Del Negro won in 2021 at the age of 54.