The Rattlers lost their 18th straight this season, a school record. Central Arkansas (0-16) is the only other winless team in Division I.
Coppin State (2-16, 1-4 Mid-Eastern Athletic) was up by 14 with 5:44 left in the first half and used a 14-2 run to push its lead to 49-23 at the break.
Florida A&M came out firing in the second half. A 21-2 run to start the frame - including 12 points from Jermaine Ruttley - made it a 10-point game at the midway mark.
The Rattlers got as close as six on Craig Bowman's 3-pointer with 28 seconds left.
Taariq Cephas added 22 points for Coppin State.
Ruttley paced FAMU with 21 points and Quentin Bastian had a career-high 20.