City won the title in dramatic circumstances nine years ago after Sergio Aguero's injury-time goal against QPR saw them pip United to the league on goal difference and Kompany admits that defeating the legendary former Red Devils boss made the victory even sweeter.
Kompany told Rio Ferdinand's FIVE Youtube channel: "It wasn't about [United], they were equal that year.
"They had a better period in the middle, we had a better period in the start. It was a big deal to win in a strong United era. Having Fergie still there and big names still there."
The former City skipper admits that he is not surprised United have struggled to replicate the glory they enjoyed under Ferguson as the manager's presence could make all the difference.
Kompany said: "You can't be that long at a club and when you leave everything's going to run the same. It was the impact when he left, things changed.
"'Fergie Time' and little changes he made in games to tip it his way, mental games before you even played went out of the window straight away. You played against United and the players but you've also got Fergie."
Kompany also recalled the dramatic final day that saw the late drama hand City their first league title in 44 years over their arch-rivals.
The former Belgium player said: "I can't describe the emotion, it was like a rollercoaster. It was the worst moment in your life and the best moment in a split second.
"You can't beat United at home with the pressure on that game, come back from eight points behind in six games, then win away to Newcastle who were top at the time and then lose to QPR at home. Everything went wrong until the last five minutes.
"For about 15 minutes when we had to score two goals, the ball wasn't coming to me anymore because we put all our strikers on the pitch. I was at the back putting the ball back in, so I was just thinking, 'Put on a brave face, I don't want to go on holiday, I'll have to cancel it.' I had nothing to do. Then it happened, turned."