Juventus' advantage became more evident after the 68th minute, when Roma found themselves a man short after two yellow cards were shown to Belgian midfielder Radja Nainggolan, the second on a hard foul against Argentina forward Paulo Dybala.
With one match left to play Juve can not be caught by second-placed SSC Napoli, who are four points behind after winning 2-0 at UC Sampdoria.
Juventus have also won the Italian Cup and Chiellini hit out at their critics, saying that while he and his team-mates have been labelled as "old and ugly. we are always the ones who win".
"I think the greatest strength was keeping calm in all situations".
Meanwhile, Maurizio Sarri's Napoli won 2-0 in Sampdoria to give them the meagre consolation of a new club record of 88 points. You reach the final objective with one small step at a time.
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Speaking to SSN reporter Ben Ransom, Kompany said: "We had a good season last season but these things take time". We are delighted to share what we have done together.
"Four years like these don't come along often and I have to thank the staff and everyone who has worked with us for their contribution".
Eusebio Di Francesco's Roma team had already sealed their Champions League place next season after Inter Milan's 2-1 loss against Sassuolo.
"Juventus have a special mentality that has been built up through the years", Di Francesco said.
And despite speculation linking Allegri with the vacant Arsenal manager's job, club CEO Giuseppe Marotta said he was confident he would remain to target the elusive European title. Meanwhile, they might be one of Europe's most successful teams, but it's more than 20 years since they were crowned champions of Europe. As things stand, Higuain and Dybala aren't in that category because they've not asked to leave and, as a effect, Juventus are not putting them on the market. There are players here who won all seven titles and deserve Saturday's salute in front of their home fans.
Juventus will play their final game in Turin next weekend and Allegri promised a big celebration. "We want to celebrate all together in Turin", added Allegri.