The loss was the Midshipmen's 21st in a row, the longest among Division I men's teams in the nation.
The Midshipmen trimmed the margin to eight three times in the final minute of the game, the last time coming on a 3-pointer by Jordan Sugars with 30 seconds left, but Bucknell made seven of eight free throws to seal the victory. .
The loss overshadowed a strong performance off the bench by Navy sophomore Isaiah Roberts, who scored a career-high 19 points.
Eighth-seeded Navy will face the top-seeded Bison on Wednesday night in the Patriot League tournament quarterfinals at Sojka Pavilion in Lewisburg, Pa., with tip-off set for 7p.m.
UMES 58, Morgan State 57: Percy Woods was fouled attempting a layup with eight seconds left and hit two foul shots to lift the host Hawks (7-20, 4-10 Mid-Eastern Athletic Conference) over the Bears (7-19, 4-10).
Morgan State tied the score at 56 with 12 seconds left on a basket by Justin Black and went ahead two seconds later on a free throw.
Woods received an inbound pass from Mark Robertson and drove the length of the floor before being fouled. After he hit his free throws, Morgan tried a last-second 3-pointer that rimmed out and UMES fans flooded the floor to celebrate the Hawks' first series sweep of the Bears since 2001-02.
Robertson led all scorers with a career-high 22 points on 7-for-15 from the field.
James Madison 65, Towson 59: Freshman Kris Walden scored a career-high 23 points, but the visiting Tigers (1-30, 1-17 Colonial Athletic Association) let an 11-point second-half lead evaporate in their loss to the Dukes (12-19, 5-13).
Towson led at the half (29-23) for the first time all season.
The Tigers increased their lead to 11, their largest lead in any game this season, after freshman Jervon Pressley converted a three-point play and Walden hit a jumper early in the second half.
Mount St. Mary's 71, Bryant 62: Freshman Kelvin Parker's first career double double paced the Mountaineers (8-21, 6-12 Northeast Conference) to a victory over the host Bulldogs (2-27, 1-16). Parker scored 12 of his 15 points in the second half to lead the team.
The Mount finished the season in ninth place. It is the first time since the 2004-05 season the team has missed out on the NEC tournament.
Vermont 80, UMBC 49: Matt Glass scored a game-high 18 points and added eight rebounds to lift the host Catamounts (20-11, 13-3 America East Conference) over the Retrievers (4-24, 3-13).
UMBC started out 6-for-8 from the field to take a 14-10 lead, but Vermont used a 10-0 run to go ahead 20-14 with 12:03 remaining in the half. The Retrievers trailed for the rest of the game.
Bowie State 93, Washington Adventist 90: Darren Clark had a team-high 27 points for the Bulldogs (21-5) in their win over the visiting Shock (13-13).
Bowie State took the final lead with a 3-pointer by Byron Westmorland (Mervo) with 1:30 left to play.