A poor crowd of less than 1 000 attended the match at the Hage Geingob Rugby Stadium on Saturday.
The match was part of the Confederation of African Rugby Cup (CAR) which is played annually.
Namibia will now play Zimbabwe in the semi-final of the competition after the latter beat Uganda 17-0 also on Saturday.
Namibia opened the floodgates as early as the fifth minute when winger Rian van Wyk dotted down, after a lovely build-up by the Namibian back line in a move initiated by fullback Hendrik Meyer from his own half.
Namibian flyhalf Morne Schreuder converted the try.
After three minutes of play from the first try, Namibia's mercurial flanker Schalk van der Merwe capitalised on a lose ball
from the base of the Kenyan scrum, to place it for the second after he found himself about two meters away from the try-line.
Schreuder made no mistake with the conversion to put his side 14-0 ahead.
Namibia led 31-0 at the break.
Mwirigi Kinagwi in action against Namibia
Veteran winger Jaco Kotze went for the third try, after a clean ball from a well-organised Namibian pack of forwards.
Kotze sprinted to the line after a perfect build-up from the centre pair of captain Corne Powell and Du Preez Grobler, who
evaded some tackles before leaving room for the winger for the try in the far corner.
Schreuder missed the conversion, but that did not deter the hard-tackling Namibian back line to set-up Herman Lintvelt for
another try, just 12 minutes before the break.
Schreuder was on target to put tha tally at 26-0.
Pieter Rossouw managed to grab one more just three minutes before the break, to send the Namibians to the dressing room with their heads high.
The Kenyan side struggled in the line-outs and also had a tough go in the scrums against the Namibians who proved well organised on all fronts.
Forward Cor van Tonder was in impressive form as he stormed into his opponents half on various occasions in attempts to cross the advantage line, while lock Domingo Kamonga was a worthy towering figure in the line-outs.
Robert Dedig and newcomer Martyn Jeary also did steady work in the scrums during the match.
Namibia spent the opening 15 minutes in the Kenyan half, and only allowed the visitors for little periods of time in their half
as they (Kenya), tried playing a kicking game instead.