The Hampden success put the seal on a season when Celtic retained the SPL title, reached the last 16 of the Champions League and the semi-finals of the League Cup.
Lennon's men return for the start of next season in just three weeks to prepare for their Champions League qualifiers having endured a gruelling campaign.
"It's been magnificent," said Lennon after winning his fourth trophy in three years. "We've played 60 games this season.
"We've been at the sharp end of every competition we've been in. I can't speak highly enough of the players and supporters."
Midfielder Joe Ledley sealed the victory over spirited Hibs after a Gary Hooper brace, and Lennon hailed the contribution of his star striker.
Asked if he needed to keep hold of Hooper, the Northern Irishman said it was vital that he stayed at the club.
He said: "Of course, he's a master. He's been one of my best signings. He's priceless. Hooper's the master, an absolute master."