Massimiliano Allegri’s men, who are on the brink of winning Serie A and are also in the Champions League final, took the lead through Alves’ superb first-half volley.
And they doubled their lead in the opening period when Bonucci tapped in after a corner was deflected into his path
The Juventus players celebrate with their Coppa Italia trophy following their final triumph
Juve players prepare to lift the trophy they won after beating Lazio on Wednesday evenin
Leonardo Bonucci, scorer of Juventus’ second goal, drinks from the Coppa Italia trophy
Massimiliano Allegri, who is on course for the treble, kisses the trophy his side won in Rome
Compliments to the lads for a great match. We played an extraordinary first half,’ Juventus coach Massimiliano Allegri said.
‘We really need to finish off the Serie A title now.’
Juventus can clinch the Serie A title this weekend, and then face Real Madrid in the Champions League final next month.
The Bianconeri became the first club to win three straight Italian Cups and brought their record title collection to 12 in the competition.
After being beaten by Roma on Sunday, their first Serie A loss since January, the victory gave Juventus a boost of confidence for the June 3 European final against defending champions Madrid.
‘We got things wrong on Sunday, and it’s been a wake-up call for us. It’s helped us rediscover our qualities,’ Bonucci said.
Italy president Sergio Mattarella was in attendance at the Stadio Olimpico and fans of both clubs put on a show with colorful pre-match choreography.
As has been the case for most of the season in cup matches, Juventus captain Gianluigi Buffon was rested and Neto played in goal.
Lazio took the initiative at the start when Keita Balde Diao hit the post from a sharp angle.
But Juventus responded immediately with a long shot from Gonzalo Higuain that Lazio goalkeeper Thomas Strakosha had to punch away.
Alves scored five minutes later and Paulo Dybala also threatened, along with Higuain, before Bonucci’s goal.
Lazio striker Ciro Immobile missed with a header that went just wide shortly after the half-hour mark and also came close early in the second half when he was denied with a quick-reflex save by Neto from one yard.
Immobile missed another close-range attempt with 11 minutes to go and soon Juventus was celebrating.
‘It’s upsetting not to win a final but we’ve had an amazing season,’ Lazio manager Simone Inzaghi said. ‘We already qualified for the Europa League, we beat Roma in the semi-finals and we’re in fourth place in the league.’
Bonucci jumps over the advertising boards to celebrate his tap-in in front of the Juve fans Italy international Bonucci is congratulated by his delighted team-mates during the first half
Alves and Paulo Dybala mob the Italian defender as the Serie A leaders took a 2-0 lead
Juventus manager Allegri is drenched with water after winning the final