Shlein said on Tuesday the minister's words smacked of "supremacist" tropes and took Italy back to the days of Fascism.
"Minister Lollobrigida's words are disgusting, they are unacceptable words from someone in his position," she said.
"They take us back to the 1930s, they are words that have the flavour of white supremacism.
"I hope that (Prime Minister) Giorgia Meloni and the government will distance themselves from these statements – made on the day that President (Sergio) Mattarella is visiting Auschwitz."
Lollobrigida, a senior member of Meloni's rightwing Brothers of Italy (FdI) party, said earlier that "births cannot be incentivised by persuading people to spend more time at home, so that relations intensify, as some people have said.
"The way (to boost Italy's flagging birth rate) is to build a welfare that enables (women) to work and have a family, support young couples to find jobs.
"We can't give in to the idea of ethnic replacement: The Italians are having fewer children, so we'll replace them with someone else. That's not the way."
Fascist dictator Benito Mussolini urged loyal Fascist mothers to have as many children as they could and gave awards to parents with large families.
Before becoming premier, Meloni in some of her fiery election campaign speeches, paid lip service into the Great Replacement conspiracy theory, which claims there are plots to substitute historical populations with migrants.
Since becoming premier she has not repeated those statements.
ANSA
