كتب : Hatem Maher
The Lens frontman opened the score line in the 17th minute with a shot from the edge of the area.
He doubled the lead in the 76th minute after capitalizing on a defensive mix-up to poke home before ensuring the victory four minutes later.
The victory put Tunisia on top of Group D with seven points, four ahead of second-placed Sudan who face Mauritius later on Sunday.
Elsewhere, Cameroon maintained their 100% record in the African qualifiers following a 3-1 home victory over Liberia.
Osasuna striker Achille Webo scored twice in the 12th and 24th minutes before Francis Doe seven pulled one back for the visitors seven minutes before the interval.
Mahamadou Iddrisou wrapped up the win for the Indomitable Lions four minutes before the final whistle.
Cameroon are in charge of Group E with nine points from three games while Liberia lie second with just three points.
Arsenal striker Emmanuel Adebayor bagged a brace to help Togo beat Sierra Leone 3-1 at home and move top of Group I.
Adebayor and Olufade Adekanmi gave the hosts a 2-0 lead before Mohamed Kallon narrowed the gap.
Former Monaco frontman Adebayor struck again to secure the win.
Togo are on top of their group with six points, two ahead of second-placed Mali who take on Benin on Sunday.