They are the first of five countries to qualify from the African preliminaries and achieved it with two matches still to play.
Sulley Muntari, who Inter Milan coach Jose Mourinho said may be suffering with his energy levels because he is fasting for Ramadan, put Ghana ahead in the 14th minute.
Chelsea's Michael Essien added a second 10 minutes into the second half, scoring from 20 yards out after picking up a loose ball.
Ghana's win, combined with a 1-1 draw for closest rivals Mali in Benin, ensured the Black Stars went seven points clear at the head of Group D.
Oussama Darragi scored an equaliser from a tight angle in stoppage time of a storming match in Abuja, dealing a large blow to Nigeria's qualification aspirations.
Nigeria had taken the lead in the 27th minute after a superb finish from Peter Odemwingie but Taider's reply came within two minutes.
Darragi's equaliser set off a storm of protest from home fans who pelted both teams with objects after the goal and at the final whistle.
Morocco's Adil Taarabt came on as a substitute and dribbled through the Togo defence in stoppage time in Lome on Sunday to give his country a 1-1 draw in their Group A match.
Togo had scored after four minutes through Moustapha Salifou and the draw against the group's bottom side is a blow to their hopes of qualifying. Togo (five points from four matches) are second behind Gabon (six points from three matches).
