Liverpool's compelling 4-3 win over Crystal Palace on Saturday heaped huge pressure back onto reigning champions City but they were rarely troubled by a Town side that look a certain bet for relegation this season.
After a lacklustre first half, City came out quickly after the break, scoring twice in the opening 10 minutes to kill off the game.
Leroy Sane, who scored the third, was reported by UK Mirror as saying: "The boss said at half-time that we can't play the way we were playing and that we had to get better".
There was always an air of confidence about the Citizens heading into the match, most likely formed by the fact that Huddersfield just can't score goals, but the way they went about their business was wonderful to watch.
"We have to demand more from ourselves in every game and do our best, but sometimes it's hard".
De Bruyne returned to action last month but City manager Pep Guardiola has taken a cautious approach with him. But this game can teach us and show what we have to do to improve. If Liverpool win, we have to win.
"(But) the way we played, we didn't deserve more than three goals. If United beat Liverpool - ideal - but if United beat us the situation is the same.
Huddersfield's main problem all season has been putting the ball in the back of the net, and it was a similar story again this afternoon with Adama Diakhaby squandering their first half-chance when he directed a stooping header wide.
After 52 minutes, De Bruyne's pass found Sane on the left and his pinpoint cross was met by Sterling who finished off a diving header with some aplomb.