Pep Guardiola's team broke numerous records in their title win last season, scoring 106 goals and becoming the first side to achieve 100 points in the Premier League.
Kompany is eager to replicate their success this season, noting that his teammates are working hard upon returning to training.
"I've got to be honest. There was a feeling that whenever we won the league you came back into the first training sessions, everybody was a little bit lax, a little bit more smiles and happiness, but a little bit less committed, and teams that just wanted it more could actually hurt us," the Belgium international told Sky Sports.
"I came in this time and it's completely different."
Asked what makes this pre-season different, Kompany replied: "We realise this is precious and we want to hold onto it."
The Citizens face an away trip to the Emirates Stadium on Sunday to face Arsenal in their opening league fixture. body check tags ::