The race was held on Palm Beach’s 3.273km road course.
Fuoco started the 26-lap race from pole position, with Canadian Nicholas Latifi in second place and Max Verstappen in third.
Fuoco led all laps to finish first in front of Verstappen and Ed Jones.
Canadian Lance Stroll finished 6th, one place in front of his fellow countryman, Latifi.
The next two rounds will be staged today, Wednesday.