The football federation and several clubs rejected the idea, which is Monti's personal opinion and is not binding.
The widening scandal has seen a number of top players arrested, the coach of this season's title-winning club placed under investigation and the national team training headquarters raided by police.
"It's particularly sad when a world which should be an expression of the highest values - sport, youth, competition, fairness - turns out to be a mass of foul play, falsehood and demagoguery," Monti said at a news conference with visiting Polish Prime Minister Donald Tusk.
"This isn't a government proposal, but I wonder if it wouldn't be a good idea to suspend the game for two or three years."
"I understand and share the bitterness of Prime Minister Monti," Italian soccer federation president Giancarlo Abete said in a statement.
"But to stop the championship would mean humiliating all of football, penalising the majority who work honestly and it would also mean the loss of thousands of jobs. It is not the solution."
Monti's suggestion underscores the growing disgust over an affair which has shone a harsh light on the pervasive corruption at many levels of Italian society.
"It's so easy for the great majority of citizens to see the origin of all Italy's problems in politics," Monti said. "It's a big mistake."
They also arrested Stefano Mauri, captain of Lazio - one of the two big clubs in Rome, and raided the Italian national team's training base at Coverciano after placing Italy defender Domenico Criscito under investigation.
"TALKING RUBBISH"
With less than two weeks before the start of Euro 2012 in Poland and Ukraine, Italian fans may draw comfort from the fact that previous scandals preceded Italy's victories in the 1982 and 2006 World Cups.
However, reaction from clubs has been largely defensive and the head of one Serie A club said Monti was "talking rubbish".
"Before saying we need to
