Bucknell shot 70.8 percent (17 of 24) in the first half and led 42-34 at halftime, but didn't gain control until the final 8 1/2 minutes. The Black Knights (10-13, 3-5), the last Patriot League team to defeat Bucknell, on Jan. 29, 2011, tied the game four times in the second half.
Cohen's three-point play started a 12-3 run that gave Bucknell a 69-59 lead with 4:06 remaining.
Mike Muscala added 16 points, Bryson Johnson 14 and Cameron Ayers 12 for Bucknell.
Julian Simmons led Army with 15 points, Josh Herbeck had 14 and Ella Ellis 13.
Bucknell 81, Army 68
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