The Eagles secured the qualification on Saturday evening with a game to spare in Group B with Alex Iwobi’s lone goal in the 74th minute.
The Eagles had several chances at goal but their profligacy meant they scored just a goal in front of their home fans.
Gernot Rohr’s men humbled their Zambian visitors at the Godswill Akpabio Stadium in Uyo, the Akwa Ibom State capital, following an impressive performance against Cameroon.
With the victory, the three-time African champions are leading the group with 13 points from five games, while Zambia sit second with seven points from the same number of games.
On the other hand, Cameroon are third in the group with six points and Algeria with just one point, both from five games.
It will be Nigeria’s sixth appearance at the World Cup tournament.