It took until just short of the half-hour mark before the visitors carved out their first real opening, and it was Patrice Evra who began the attack, picking out Tevez who came within inches of firing his side into the lead. Marco Sportiello managed to get down low, producing a fine stop to deny the striker.
There was no stopping Tevez five minutes later, though, as the Argentina international fired home a rebound from close range to put Juventus ahead.
Fernando Llorente came close to doubling his side's advantage shortly after, but his header ended narrowly over the bar to ensure that the scoreline remained slender going into the break.
Atalanta were gifted an opportunity to level the contest shortly before the hour when Giorgio Chiellini gave away a penalty, but German Denis saw his effort from the spot thwarted by Gianluigi Buffon.
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Seconds later Juve were up the other end where Tevez fired into the bottom left of the net to make it 2-0 to the Old Lady.