On a poignant day for the club, Lennon believes the performance was a fitting tribute to fellow Irishman and Celtic legend Sean Fallon who died on Friday.
The Hoops manager said: "I think the players wanted to give Sean a good send off and I think he would have been happy with that as well.
"That's probably the best we have played at home. We challenged them today and the players did everything we asked of them."
Georgios Samaras and Lassad Nouioui were among the goals, but Gary Hooper will again be in the spotlight as he grabbed a brace.
And Lennon remains confident the striker will sign a new deal with Celtic as discussion on a contract extension continue.
Lennon added: "I thought Gary was brilliant, he was at his best. He got two goals, but I think his all-round game was top class.
"We had a chat last night after speaking to his representatives and we wanted to make our position clear to him and he is quite comfortable with it all.
"We have made it clear that we are not selling him, we don't want him to go, especially at this juncture of the season."