Resuming at the overnight score of 112 for two, Kenya suffered an early reversal when skipper Steve Tikolo fell at his overnight score of 41 but wicketkeeper opening batsman Kennedy Otieno held fort to score a dogged half-century.
Otieno made 56 from 153 deliveries and his innings was interspersed with nine hits to the fence.
Once he departed, it was the turn of all-rounder Martin Suji to carry on the good work.
Suji slammed an unbeaten 72 off 190 balls, studded with eight boundaries as Kenya declared their second innings at 292 for nine thus setting Namibia a target of 248 for a victory.
Namibian batsmen stumbled in their chase as they were pegged back to 68 for five with skipper Tikolo scalping two wickets.
The five second innings wickets helped Kenya to garner more bonus points which in the end enabled them to move to the next round.
Brief Scores:Kenya First Innings: 300/6 decl. Namibia First Innings: 335/9 decl. Kenya Second Innings: 282/9 decl. Namibia Second Innings: 68/5.