Under fire for an error-strewn opening win over Togo, Les Elephants oozed class for much of this encounter with Premier League duo Gervinho and Yaya Toure and late substitute Didier Ya Konan getting the goals. The result lifted the Ivorians to six points, which could be sufficient to earn them an early last-eight ticket should Algeria draw with Togo later in the second Group D tie.
In a surprise, Côte d'Ivoire's talismanic captain Didier Drogba was dropped to the bench. The 34-year-old veteran, figuring at his last Cup of Nations, proved a largely ineffectual presence against Togo, with coach Sabri Lamouchi taking him off with quarter of an hour to go.
Also out were Manchester City defender Kolo Toure and midfield duo Max Gradel and Ya Konan. Lamouchi called up Lille striker Salomon Kalou and Anzhi Makhachkala's young forward Lacina Traore, this pair joining Arsenal's Gervinho in attack, and Newcastle midfielder Cheik Tiote. Centre-back and former Spurs player Didier Zokora was handed the skipper's armband.
Tunisia's cause was severely hampered by the absence of key striker Issam Jemaa, who misses the rest of the competition with a knee injury sustained against Algeria.
In contrast to their curtain-raiser, Les Elephants were playing neater, crisper football , with Gervinho, Traore and Yaya Toure troubling Tunisia's backline. Kalou blasted over on 18 minutes, then three minutes later Gervinho combined neatly with the influential Traore to slot a rising right-footed shot into the far corner of Moez Ben Cherifia's net.
On 56 minutes a deft movement involving Traore, Gervinho and Kalou saw the ball in the back of the net again, only for Gervinho to be ruled offside. A big cheer went up when Drogba began to warm up on the touchline, and an even bigger one when he made his stately entrance for the final quarter with Traore making way.
Tunisia, who grabbed a last-minute winner against Algeria, finished strongly again with Saber Khalifa squandering a chance to level before goals from Yaya Toure and Ya Konan seconds after entering the fray in the closing two minutes rounded off a perfect night for the top-ranked team on the continent.