Spieth fired seven birdies in a six-under-par 66, holding off tenacious playing partner Charley Hoffman to win by two strokes with an 18-under-par total of 270.
Spieth has won 11 times on the PGA Tour but is hoping to end a lengthy dry spell dating back over three years to the 2017 British Open.
Shubhankar Sharma, grouped alongside Poulter and Cabrera-Bello, was eliminated at the group stage after failing to stop the ball inside the marked circles in any of his five attempts
Fending off epic challenges from three top rivals in a dramatic Masters final round, Patrick Reed captured his first major title on Sunday, grinding out a one-shot victory at Augusta National.
Shubhankar Sharma, who shot five-over 77 in the first round, is now seven-over for the tournament and has nine more holes to go in the second round.
"Anything that I did right ended up in a bad spot, and then anything I did wrong it was really bad," Woods said. "It was just one of those days."
Presidents Cup: Elated Anirban Lahiri says he has 'unfinished business' after getting International Team recall
Besides Anirban Lahiri, captain Nick Price picked Emiliano Grillo of Argentina as the other wildcard for the International Team.