The Hoops were crowned champions in April and lost only one league match on the way to their third successive Scottish title.
Lennon now joins Willie Maley, Jock Stein and Gordon Strachan in an elite group of Celtic managers who have won three consecutive titles with the club.
And the Irishman savoured the occasion in the firm belief that Celtic are on sound footing on and off the pitch.
Lennon said: "It's very special to win any sort of trophy.
"For a long time in the '80s and '90s, it was a struggle for us but now we are very productive in terms of picking up trophies and being successful on and off the field.
"I'm very proud to have joined that select band of Celtic managers. I'm one of the few who have been privileged enough to do this job and when you are here you want to make the most of it.
"We can be pretty proud of what we have achieved in the last four years."