The Bhoys sealed the championship with four games to play courtesy of a 4-1 win over Inverness on Sunday.
Lennon's side have not had to compete with fellow Glasgow outfit Rangers this season after they were liquidated before relaunching to play in the Third Division.
But Lennon rejected the notion that this has diminished Celtic's triumph.
"It is never easy," he told the Scottish Sun. "You would denigrate what the players had done if you said it was easier. It was not easy at all.
"What everyone misses is that when the results come in and you have had your result, then you look over to what is happening across the road.
"But as far as we were aware or concerned, we knew what was facing us going into the season and we had to get on with it."
The Parkhead boss admitted some fans may miss the Old Firm derbies with Rangers but rejected any suggestion that the fixtures guaranteed close championship races.
"In terms of competition, in my time this is the eighth championship we've won and five of those were by 17 or more points with Rangers in the league," he said.
"The only time it is close is when it goes to the final game of the season. The fans really miss that edge between each other."