Jones, who also dished seven assists, made 7 of 15 shot attempts -- including three 3-pointers. Jones was on the court all 40 minutes for the Gaels, who had six players see over 25 minutes of game action.
Iona led 13-6 with 11:29 left in the first half before Armand scored seven straight points for the Gaels, pushing their advantage to 20-6.
Iona increased its lead to 19, 36-17, behind a 3-pointer from Jones and entered halftime with a 40-17 lead.
Denver battled back in the second half, narrowing the gap to 59-53 with 4:44 left to play, but Jones converted another 3-pointer and made a layup on back-to-back possessions to expand Iona's lead to 11, 64-53.
Chris Udofia led Denver with 20 points.
Colorado State graduate transfer John Gillon has chosen Syracuse, giving the Orange a potential starter at point guard entering the 2016-17 season.
DeSean Murray, who averaged 20.2 points as a sophomore at Presbyterian, will transfer to Auburn to play for coach Bruce Pearl.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.