Nigeria will face South Africa in the semi-finals on Thursday, December 8.
The Super Falcons scored through Ngozi Okobi and Faith Ikidi in the first half before Asisat Oshoala, and Oparanozie Desire added a goal each in the second half.
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The Super Falcons started the game on the front foot and got their goal in the third minute through Okobi with a fine strike from outside the box.
Three minutes later Nigeria doubled their lead through Ikidi who found space in the box to nod home a free kick.
The Falcons got their third goal in the second half through Oshoala who slot past the Kenyan goalkeeper from a cross.
The Arsenal Ladies forward now has six goals in the tournament.
Desire sealed the win in added time after coming in the 60th minute for Uchechi Sunday.
Nigeria will face South Africa in the semi-finals on Tuesday, November 29.
Host Cameroon will face the Black Queens of Ghana in the other semi-final on the same day.