The 10th win of the campaign has given Juve a three-point cushion on Roma, whose 2-1 victory at Atalanta earlier in the day briefly put them level on points with the defending champions at the top of the table.
A fifth defeat of the season for Lazio has denied the Romans a chance to climb into third place.
Instead, they have remained in fifth spot but could fall further down the table by the end of the weekend.
Juventus goalkeeper Gianluigi Buffon and defender Giorgio Chiellini went into the encounter with an extra bounce in their step after signing new deals with the Turin giants earlier this week.
Lazio dominated the early exchanges and had the first chance in the 11th minute when Stefan de Vrij’s header from Lucas Biglia’s cross went over the bar.
Shortly after, Antonio Candreva’s drilled effort from the edge of the box went just wide of the far post.
Juve went in front when Tevez set up Pogba in the area and the ex-Manchester United player hit a right-footed shot towards the near post to beat Lazio goalkeeper Federico Marchetti.