Last season, City were in blistering form as they won 14 of their 17 Premier League matches before Christmas - dropping just seven points along the way.
Kompany admits they have found teams that bit more determined this season and as a result the tag of being champions has weighed heavily on them.
He said: "Of course, as champions you start most games as favourites to win.
"Teams tend to sit back a little bit more and wait for you to take the game to them - then try and catch you on the counter-attack.
"Teams may have more respect but they are not naive and that makes each game a bit trickier. But it's an honour to be defending the Premier League, so you have to take everything that comes with it."
Kompany added: "In my mind, there is no difference other than we now know we can do it so if we apply ourselves correctly we can win it again."