The Tigers (2-10), who won three in a row after dropping their first 10, used a 12-3 run early to pull away.
Dixon capped the run on a 3-pointer with 10 minutes left in the first half for a 23-14 Tigers' lead.
Jackson State, which shot 44.8 percent (26 of 58), outrebounded Alabama A&M 41-27. Dixon finished with eight rebounds.
Hilton scored 23 points to lead the Bulldogs, who lost their third straight.
Casey Cantey added 15 points for Alabama A&M, which shot just 9.1 percent from 3-point range (1 of 11).