The Hoops are 21 points clear at the top of the table and have all-but confirmed a 43rd league crown, but Lennon wants to end the season with a flourish.
"We want to win our remaining 10 games and finish the season strongly," said Lennon.
"I think the points total is important, we had 92 and 93 in the last two seasons so we would like to get up around 90 again and we still have a bit of work to do to make that target.
"I want these young players to keep progressing and try and adapt to any environment or challenge that is put in front of them."
Lennon insists the next week will define Celtic's season. They face St Mirren in the quarter-finals of the William Hill Scottish Cup on Saturday before travelling to Turin for the second leg of their UEFA Champions League last-16 clash with Juventus, facing a 3-0 deficit and almost certain elimination.
"Obviously we have places up for grabs for the Scottish Cup and Champions League so there has been no sign of anyone taking their foot off the pedal," Lennon said.
"The squad is vibrant and healthy and I will use it but obviously I am mindful of the fact that Motherwell is a big game, St Mirren is a huge game for us and obviously Juventus as well.
"These are three games that will shape the season one way or the other and I will go strong in all of them."