First half goals from Benson Kolala and Prince Mumba sealed the three points for Zambia to remain in command of Group A,
Zambia will play its final group match on Saturday against Mozambique who drew 1-all with Malawi.
Mozambique has four points and still has a chance to beat Zambia to top spot.
Only group winners across the three groups automatically qualify to the semi-finals with the second placed loser gate crashing the semis.
Zambia beat Malawi 2-0 in the opening match.