The Hoops brushed aside Dundee United 3-1 at Tannadice to ease the pressure after Old Firm rivals Rangers smashed Motherwell 6-0 on Saturday and Lennon was happy with the overall performance of his players, particularly from his frontline of Gary Hooper and Anthony Stokes.
"I thought the front two set the tone. In the first half they were sensational," Lennon said. "We could easily have gone in with a more comfortable lead.
"At 2-0 you are always concerned that Dundee United could get back in the game, and they did.
"But there was a real belief about the team that they could have got another one, which they did, and really we should have picked Dundee United off a lot better on the counter-attack when they were throwing bodies forward.
"We got a bit of luck with the first two goals but I thought we earned it. We missed easier chances and should have been more clinical at times, but the fact we created quality chances really pleased me.
"I'm really pleased with the threat we have and we defended solidly too."