Polesitter Leclerc defied expectation by running a two-stop strategy but his late push on fresh tyres failed to produce enough pace to reel in the champion as Verstappen rose from seventh.
Leclerc had his hopes bolstered by a late safety car that had the potential to throw a spanner in the works, but it was slow to pick up the leaders and duly denied a thrilling sprint to the finish and scuppered any Ferrari comeback.
That allowed the Red Bull driver to claim his 31st top-flight victory, fifth in a row and 11th of the season to close to within two triumphs of the record for the most successful F1 season.
After a change of internal combustion engine on the advice of supplier Honda, Verstappen lined up seventh thanks to a five-place grid penalty following his lap for second in qualifying.
His RB18 was shod in the softest available C4 tyre to launch well and claim fifth swiftly following an anti-stall trigger for third-starting Lando Norris and a pass on Fernando Alonso.
Verstappen kept climbing in the early stages of the 53-lap 100th anniversary race at Monza. He relegated AlphaTauri pilot Pierre Gasly for fourth at the end of lap one before diving past 2021 Italian GP winner Daniel Ricciardo under braking into the first chicane for a provisional podium.
That left only Leclerc and second-starting George Russell up ahead, the Mercedes holding firm after aborting the first chicane while squabbling with the Ferrari for the early lead.
Despite the W13 separating the pair, Leclerc and Verstappen traded early fastest laps over the timing line as a net 2.5s split the protagonists.
Then the Red Bull claimed second with a great run out of Ascari before combining DRS and the tow to pass Russell cleanly down the main straight to tee up the fight for the win.
With Verstappen a couple of tenths faster per lap, Ferrari attempted to twist by using a virtual safety car – called when Sebastian Vettel parked up with a smoky engine – to give Leclerc a cheaper pitstop.
He stopped for a set of mediums on lap 13 with a swift 2.2s service just as the green flags were waved to dent the effectiveness of the undercut and Leclerc was released in third with 18s to find.
Despite his aging softs, Verstappen was able to hold a decent pace – lapping only 0.5s slower than Leclerc while holding a 10.2s cushion to Russell as Leclerc trailed by a further 4.1s.
As the F1-75 began to make gains, Verstappen pitted for mediums on lap 26 and courtesy of a quick 2.4s…
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