Goals from Enner Valencia, Jaime Ayovi, Christian Noboa and Antonio Valencia completed a routine win for Ecuador yesterday who are now assured of finishing in second place in Group B.
Peru and Brazil play later Sunday with the winner of that game assured of reaching the quarter-finals as group winners.
A draw would leave Brazil, Peru and Ecuador level on five points, but Brazil would advance as group winners with Ecuador second by virtue of their superior goal difference.
Haiti, mauled 7-1 by Brazil in their previous game, were given a similarly torrid time by a rampant Ecuador side who attacked at will during a breathless opening period.
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Ecuador defender Arturo Mina set the tone for a one-sided encounter, blazing over the bar after only three minutes with the Haiti goal at his mercy.
The opening goal came in the 11th minute, Enner Valencia taking advantage of acres of space down the left flank to get behind the Haiti defense before calming tucking away a low finish beneath the advancing Johny Placide.
Ayovi had sprinted into space after his dummy and Valencia unselfishly squared to the striker who tapped into an empty net for 2-0.
Ecuador's large contingent of fans in a crowd of around 50,000 at the MetLife Stadium in New Jersey were made to wait for their team's third goal.
It arrived on 57 minutes, Russia-based central midfielder Christian Noboa hammering in a half volley just inside the area to make it 3-0.
Once again Enner Valencia went clean through on goal and calmly rolled a pass into the path of his namesake who finished for 4-0.