The Buddies conceded a penalty early in the second half against Caley Thistle with David van Zanten punished for handball as he tried to block a shot at virtually point blank range from James Vincent.
Vincent scored the resultant spot-kick before further efforts by Aaron Doran and Billy McKay sealed an opening day 3-0 win for Inverness.
Lennon refused to criticise referee Kevin Clancy for awarding the penalty, but felt that match officials are perhaps coming under too much scrutiny when it comes to making decisions, especially those that can change the outcome of a game.
He said: "I just feel that every time a decision is made that referees are under pressure from above.
"They want to stop the game and make decisions or make the big calls.
"You look at the one on the first have where the Inverness player (Gary Warren) got booked. It was the first real tackle in the game and he won the ball.
"You look at ourselves coming here and we're finding our feet having come back from pre-season.
"Officials have had the same respite as ourselves, so perhaps it will take them a bit of time to get back up to speed."
Vincent marked his competitive debut for Caley Thistle with a goal as the former Kidderminster Harriers player calmly converted from the penalty spot to put Inverness on their way to victory against the Buddies.
After several players missed from 12 yards last season, Vincent has now been given the job of chief penalty taker by Caley Thistle boss Terry Butcher.
He said: "James is someone I really like. He's one of several players to come to us from non-league football down south and they are making their mark.
"Last season Billy McKay, Richie Foran and Graeme Shinnie all missed penalties, so James took the responsibility and he's got the job now as he tucked it away really well."