"People are asking whether we are the best Premier League side in history, but the answer is no, because we have a lot of work to still do", he told City's official website.
'We all believed in it, otherwise it wouldn't happen, ' Kompany said.
"You can't take (winning the league) for granted, I've won three now but there's so many we've missed", he said.
City captain Vincent Kompany was watching the match with his family, including his United supporting father-in-law, and the club sent someone round ready to broadcast the scenes on the off chance that United slipped up. I kind of want to see how the reaction will be because I've never retained a title.
Kompany made a speech to mark the moment, as he and and his team-mates posed for photos as they left the venue at 10.30pm, leaving to a chorus of "campiones, ole, ole, ole".
"One thing he [Guardiola] has been able to transfer is that hunger and desire to never be satisfied", said Kompany.
'I'd like to stay humble, it's not a dynasty, it's just one title. There is so much to do before we unlock our full potential'.
"There was a period of adaptation for him coming into the league and for us taking in his methods".
Kompany, like most others, was caught on the hop by West Bromwich Albion's shock victory at Manchester United, a result that meant City were confirmed as champions with a record-equalling five games remaining.
"I had a feeling when I woke up this morning".
"Today was a day for the Blues - there have been many days for the Reds before, and ultimately it's banter".
"I noticed within the first month that if I'd met him at 18 or 20 [years old] then I would've been the flawless player for him", Kompany said.
"He's a better loser than a victor, I have got to be honest!"