After dropping the opening set to Peru, 21-25, Mercy Moim and Ruth Jepngetich led Kenya into recovery, dominating Peru to take the second set 25-17.
The third set went point-for-point, until the Kenyans pulled away late 25-22.
With the title and a return to Group 2 slipping from their grasp, Peru threw everything at the Africans in the fourth set, and opened up a 3-point lead at the midway point.
The disappointment for Peru was compounded by the site of star player, Angela Leyva, being taken from the arena in a wheelchair after badly injuring her ankle.