Reid, who averages 4 ppg, came off the bench to score 16 on a perfect 7-7 from the field and added eight rebounds.
The win moves the Eagles to 8-5 in MEAC play, good for sixth place with three games to go before the MEAC Tournament.
The Eagles are 14-13 overall.
Reginald Gardner Jr. was 4 of 5 from 3-point range for 12 points, Larry McKnight Jr. scored 11 and Raasean Davis added 10 points.
North Carolina Central opened the game with an 11-2 run and never trailed. The Eagles pushed the lead to 44-30 early in the second half with a 9-0 run and the Bison (8-21, 5-8) cut the deficit to single digits only twice after that.
The Eagles were 9 of 16 from 3-point range and 32 of 56 (57 percent) overall from the field.
RJ Cole had 24 points and Charles Williams added 18 for Howard.
The Eagles travel south for their final regular season road trip of the year, starting on Saturday at South Carolina State.
The Associated Press contributed to this report.