"It feels really, really good," said Leclerc, who will be bidding to emulate his 2019 Monza triumph.
"We still need to finalize this tomorrow otherwise it's pointless to do the pole on Saturday, but it is a very good surprise today considering where we come from ... we were not expecting to fight for poles here.
"So it's a very good surprise, at home. Yeah, there's a special motivation for this weekend. And it's great that we managed to do a good job today."
Verstappen is bidding for a fifth straight win and a first-ever appearance on the iconic Monza podium. The reigning champion had a more daunting task at the Belgium GP two weeks ago, when he was again among several drivers to be hit with grid penalties and started 14th but surged through the field to victory.And the Red Bull driver believes the strategy is simple.
"I just need to have a clean Lap 1, clear the cars in between us quite quickly, and I think we still have a good chance here," Verstappen said.
Carlos Sainz Jr. was third fastest but he will not start alongside his Ferrari teammate on the front row as he has also been given penalties and will start at the back of the grid, ahead of seven-time world champion Lewis Hamilton and Yuki Tsunoda.
"I'm not going to lie, it hurts to be starting at the back tomorrow especially with how competitive the car is this weekend, how good I'm feeling on the car, especially after this qualifying, and to know I will be starting at the back," Sainz said.
"I will do my best and try to put on a good show ... but I wish I could be there at the front with Charles in order to try and go one-two tomorrow for the tifosi."
Nine drivers in total received grid penalties. Verstappen's Red Bull teammate Sergio Pérez finished fourth, ahead of the Mercedes duo of Hamilton and George Russell, but it is Russell who will start alongside Leclerc on Sunday.
Pérez will instead start back in 13th.The McLaren duo of Lando Norris and last year's Monza winner Daniel Ricciardo make up the second row, ahead of Pierre Gasly and Fernando Alonso.
There was an impressive qualifying debut from Williams reserve driver Nyck de Vries who is stepping in for Alex Albon this weekend after the Thai driver was diagnosed with appendicitis.
The 27-year-old De Vries made it into Q2 — bettering teammate Nicholas Latifi — and was 13th fastest meaning he will start his first-ever F1 race in eighth.