James Forrest's wonderful strike gave the champions a point and while Lennon admitted his side might well have gone on to win, he could see the strain the last fortnight had taken its toll on some of his squad.
"We didn't get what we deserved today, which was the three points," Lennon told BT Sport.
"I'm delighted with the attitude of the players. It was very difficult for them after being away for two weeks on international duty, you could see some of them were not at their best today.
"I'm glad to get that game out of the way. I'm glad to get the international break out of the way."
In a game played in tricky wet conditions, striker Paul Heffernan gave Hibs the lead in the 17th minute when he raced through to knock the ball past Fraser Forster.
But Celtic secured a point when Forrest netted with a brilliant effort with the outside of his boot in the 75th minute.
"It was hard, the ball was skidding away. They scored their goal and it took us a while to get started," said Forrest.
"It was a good goal. We had a few chances at the end to win it and I think all the boys will be gutted that we didn't."
Hibs captain Ben Williams hailed his side for a job well done.
"I thought we did really well. We got a lot of credit from the game," he said.
"Celtic created chances as obviously they're going to do as they're a quality side but I thought we defended really well. It was a good point."