"I think what was really pleasing was the performance today under the pressure," Rodgers told Sky Sports News at the end of Sunday's game at Parkhead.
"Obviously it was a really emotional day in terms of it being a Celtic-Rangers game but to play that way with that intensity and aggression was very pleasing. You have to play football and today we did the basics of the game really well.
"I thought we were outstanding, we could have had more goals, but it was an absolutely outstanding performance and I'm delighted for the supporters. It is a great day for them and it is another title which is important."
Celtic stand on the brink of a second consecutive domestic treble, as Motherwell - their vanquished Scottish League Cup final opponents - await in the Scottish Cup final on May 19.