The 43-year-old coach heaped praise on his side for winning consecutive league titles and has cited the defeat to Inter earlier in the campaign as the worst moment of the season
The Bianconeri went into Sunday's match knowing a point would be sufficient in securing back-to-back Scudetto titles and, speaking to Sky Italia after the game, the 43-year-old coach revealed he is forever indebted to his squad for successfully defending its Serie A crown.
"We are happy and satisfied. The credit goes to the players who have been extraordinary for the entire season. I am proud of them as it was not easy to win another championship," he told Sky Italia.
"The Champions League sapped some energy out of us, but the team were outstanding in all respects. I'll never stop thanking them.
"I must also thank the club and my staff, especially for their work at the start of the season because of my ban."
The 43-year-old then reflected on a number of difficult moments on the journey to retaining the title and believes the defeat to Inter in November - which ended Juve's 49-game unbeaten streak - prompted a sense of mortality within the squad.
"Most difficult moment of the season? The home defeat to Inter made us reflect on many things after the beginning of the season had gone so positively," said Conte.
"Against the Nerazzurri came our first defeat. The result brought our feet back to the ground. The match that made me feel sick to the stomach was the one at home against Sampdoria."
Juventus bowed out of Europe after going down 4-0 to Bayern Munich over two legs in the Champions League, but Conte believes the club's two recent league titles more than make up for its perceived failure on the continental stage.
He added: "The Champions League? After our elimination against Bayern, we were on the receiving end of criticism. There was talk beforehand that Juventus was not on the Bavarians level, but after the first leg I remained quiet as the German side was superior.
"The essence of Juve is winning, we always aim to win every tournament in which we participate. At the end of the season, I shall speak with the club. The fans must be satisfied, first and foremost though, because in these two years we have forged ahead together."
The newly-crowned champions travel to Atalanta on Wednesday.