The top five are now separated by just 24 points, less than the 25 available for a victory, with everything to play for and five races remaining.
Webber has 187, Hamilton 182, Alonso 166, Button 165 and Red Bull's Sebastian Vettel 163.
Button denied Ferrari a one-two finish, with Brazilian Felipe Massa joining team mate Alonso on the podium in third as a sea of red-shirted fans invaded the track in jubilation.
"This is a good motivation for all of us but the remaining five races are the really important ones," said Alonso, who started on pole position and had earlier described Monza as crucial to his hopes of a third title after he crashed in Belgium last month.
"We need to remain calm. This was a good weekend for us. Spa was a bad weekend. We need to find some consistency in the final races."
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