Chasing 249 for victory, Kenya's run got off to a bad start after opener Irfan Karim was dismissed for 4.
His partner Gurdeep Singh fired back, blasting 6 fours for his 27 before being dismissed by Norman Vanua.
Kenya's two new batsmen Rakep Patel (33) and Rushab Patel (95) turned the momentum Kenya's way to put them right back in the game.
Barras all-rounder, John Reva continued his good form, making the breakthrough, dismissing the dangerous Rushab.
At this stage, Kenya was at 5/214 after 45.4 overs.
