Verstappen was crowned victorious as the Red Bull driver crossed the line approximately 1.333 seconds ahead of Mercedes' Hamilton.
The victory, viewed by an estimated 160,000 attendees, extends Verstappen's lead over Hamilton to 12 points amid the Formula One Championship fight.
Spanish driver Fernando Alonso, of Alpine, was six miles from the finish line when a broken rear wing triggered his retirement.
This came shortly after Esteban Ocon, another Alpine driver, was forced into the garage and secured ninth place.
Scuderia AlphaTauri's Pierre Gasly was also forced to retire from the race after he experienced suspension failure after just 14 laps into the Formula One world championship race.
The Circuit of the Americas in Travis County, Texas, has hosted an estimated 400,000 individuals at its race facility over the past three days.