He said that if the Yes campaigners succeed in explaining the content of the Constitutional reform, for which he asked Italians to help, the campaign would win.
"After the Brits voted for Brexit and then realised what they'd done, international commentators are now looking to our referendum," he said.
Renzi said "we will win, but not by spurring fear", implying this had been one of the weapons for the UK's successful Leave campaign.
Renzi has said he will quit if he loses the referendum on a reform that turns the Senate into a smaller, regionally based body with limited powers, ending Italy's unusual 'perfect bicameralism' blamed for decades of political gridlock.
The premier also called on Italians to fight hate after the slaying of a Nigerian man who fled Boko Haram and not to retreat into "fear" after the Dhaka terror attacks that killed nine Italians.
ANSA