"God knows how long our journey had been," forward Jeremy Menez, who scored the winner, told French TV channel Canal Plus. "It has been a great season and tonight we got our reward."
Right-back Christophe Jallet, the only player in Sunday's starting lineup at the club when Qatari investors QSI took over two years ago, broke down in tears after the final whistle.
"We had to fight throughout the season. We experienced some hard times. We're very happy to win this title together and we'll celebrate it the right way," he said.
"We knew we were close but it was hard," said goalkeeper Salvatore Sirigu, who was serving the second of a two-game ban on Sunday.
"It's the first title for many of us. We hope it's just the first of many," added Sirigu, who joined from unfancied Italian side Palermo two years ago.
Sunday's victory gave PSG a seven-point lead over second-placed Olympique Marseille with two games to play.
"It's a relief," said midfielder Blaise Matuidi. "The truth is that it has not been easy. We were expected [to win the league]. The title was our goal. We did it."
"I'm so pleased to be part of this team, with great players like Zlatan [Ibrahimovic] and Thiago Silva," added the France international, named on a four-man short-list for the Ligue 1 Player of the Year award with the two former AC Milan players.
