This was thanks largely to a 5 wicket haul from Barras Chad Soper.
Soper finished with 5/27 off his 9 overs.
Kenya batted first and got off to a disastrous start hanging at 3-52 after 13.1 overs.
Some resistance from Kenya's middle order in the likes of Gurdeep Singh (33) helped steady the ship.
Kenya's opener Irfan Karim top scored with 73 runs. This included 7 fours and 1 six.
Soper was assisted in the bowling department by John Reva 2/19 and Norman Vanua 1/34.
Kenya were all bowled out in the 47th over.
The Barras now require 188 for victory.