Love made 7 of 14 shots, including four 3-pointers. He scored his 1,000th career point in the first half, the 27th player to reach the mark in the program since Keifer Sykes in 2013.
Trayvon Palmer scored 19 points and had 15 rebounds to lead Chicago State (4-17), which has lost eight straight games.
It was tied at 11 before Love made a 3-pointer and the Phoenix led the rest of the way. Green Bay had all 12 players score, the second time the Phoenix has done so this season.