It is the fourth time in five tries that Scott has won when he had at least a share of the lead after three rounds.
The Australian had to overcome late pressure from the runner-up, who shot a bogey-free 5-under 65 on the last day. Furyk's final total was 8-under 272.
"It's been a long time coming for me," Scott said. "It's been a while since I've won a four-round tour event. I seem to be the king of the rain shortened ones right now."
Scott was the only player to score in the 60s in all four rounds.
He won $1.17 million for his effort.
Second-round leader Joe Durant (67) was third at 7-under 273.
Retief Goosen (67), who was a co-leader after round one, finished fourth at 6-under 274.
Swim Week Miami Beach 2014 [PHOTOS]