Lennon’s appointment was announced only hours after he left them to a 2-1 victory over Hearts in the Scottish Cup final to claim an historic treble-treble.
On their official Twitter account they broke the news with a message that read: “We are delighted to announce that Neil Lennon has been offered the job as permanent #CelticFC manager and the details will be confirmed in the coming days.”
Lennon was clearly delighted and revealed he always plan to return to the club.
“It’s a privilege,” the Northern Irishman said.
“It’s been my privilege to manage the club once but to do it a second time I feel sort of full circle again.
“It was always my objective. I left the club on good terms last time and nothing’s changed.
“It’s been a rollercoaster couple of months. It’s been difficult but I hope I bring a lot more success to the club login forward.”
Lennon helped Celtic clinch the Scottish Premiership title after taking over in the interim from Rodgers after he left for Leicester in February.
He won an impressive 10 of his 14 games in charge with only one defeat to his name.
Despite that, Lennon insists there is work to be done to ensure a period of sustained success and he also took time to pay tribute to his predecessor.
“It’s [the hard work] already begun really,” he added.
“There’s going to be changes in personnel obviously.
“But I don’t want to change too much because it’s been a really good transition between myself and Brendan.
“I’ve got to pay tribute to him and [former manager] Ronny [Deila] who have done fantastic things for the club as well.”
Celtic had to come from behind to win their latest piece of silverware after Ryan Edwards put Hearts in front on 52 minutes.
But they responded just 10 minutes later through Odsonne Edouard who also who kept his cool from the penalty spot to grab the winner just eight minutes from time.