Delaware State (2-0, 1-0 Mid-Eastern Athletic Conference) led 10-7 at halftime and scored 10 points in the third quarter to take control of the game. Winton hit William Griggs with a 19-yard scoring pass on the first drive of the second half.
Albert Chester completed 19 of 34 passes for 172 yards and one touchdown for Florida A&M (0-2, 0-1 MEAC).
Delaware State took a 7-0 lead with 10 minutes left in the second quarter, when Winton threw an 11-yard touchdown pass to Shaheer McBride. The touchdown came after Delaware State's Alimayo Wilder blocked a punt by Florida A&M's Wesley Taylor.
Florida A&M scored its only points on a 5-yard touchdown pass from Chester to Taj Jenkines with 1:17 left in the second quarter. The score capped a 40-yard drive that began after the Rattlers' Curtis Holcomb intercepted a Winton pass.
Delaware State, which has beaten Florida A&M three consecutive times, scored its other points on two field goals by Peter Gaertner. The Hornets' Chris Strother caught six passes for 73 yards and also rushed for 35 yards.