The Rams (5-2) shot 55.8 percent from the field, with 19 assists on 29 field goals. Jared Terrell had 12 points and E.C. Matthews added eight with five assists. T.J. Buchanan, Jarvis Garrett and Earl Watson each chipped in nine points for Rhode Island.
Rhode Island jumped out to an early 14-5 lead as Martin hit two jumpers and a layup. A 13-4 surge sparked by two dunks and a three-point play from Watson made it 35-17 at halftime.
Southern Miss couldn't pull closer than 12 in the second half and trailed 53-31 after Garrett's 3-pointer with 10:57 left.