The Bianconeri gave Vladimir Petkovic's men their second thumping inside a matter of weeks on Saturday night
Arturo Vidal scored twice in the first half to give the champions the edge but Miroslav Klose's reply for the Romans ensured that the result was not clear cut at the interval.
Antonio Conte's men sealed three points when Mirko Vucinic struck just before the hour mark and a fine individual performance from Carlos Tevez was capped when he grabbed his team's fourth with 10 minutes left.
Lazio's Hernanes saw red with 63 minutes played, though his side was already out of the game by that point.
Both coaches named unchanged teams following opening day victories and their charges responded by taking little time to get going in an entertaining start to the match.
Hernanes carved out the first real opportunity for the visitors, but could only shoot straight at Gianluigi Buffon having connected with a chipped ball over the Juve defense.
The hosts replied with an early effort of their own, with Vucinic denied by a fine piece of defending from Lorik Cana as he looked to get a shot off after Andrea Pirlo had played him through.
The crowd would not be forced to wait long for a goal, though, as Vidal opened the scoring with just 14 minutes on the clock.
The Chilean latched on to a fabulous chip over the defense from Paul Pogba and showed remarkable composure to poke the ball underneath goalkeeper Federico Marchetti.
And, 12 minutes later, Vidal had his second courtesy of a cool side-footed finish after Leonardo Bonucci had surged out of the Juventus defense to play his teammate in on goal with a long lofted pass.
Lazio had, in truth, played a more prominent role in the game than the scoreline suggested, and so there was a sense of justice when Klose got on the scoresheet two minutes after Vidal's second.
The striker was the quickest to react to a rebound from a Hernanes effort and slotted expertly beyond Buffon to bring his team back into the game.
Lazio ended the first half undoubtedly on top, but just four minutes after the restart the hosts' two-goal advantage was restored.
Bonucci again provided the assist, chipping a long pass from the back into the path of Vucinic, who held off his man expertly on the turn before poking past Marchetti.
And Lazio's task would become even more difficult on the hour mark as Hernanes attempted to punch a cross from the left into the Juve goal and subsequently saw a deserved second yellow card.
Tevez almost rubbed salt in Lazio wounds in the 71st minute, only for his left-footed effort from the edge of the box to come back off the bar.
But the Argentine got his goal soon after, his third in as many games for his new club, as he swept the ball home from distance following an intelligent dummy from Vucinic.