Just 17 per cent said they found the so-called group, "Patriotic Europeans Against the Islamisation of the Occident" (PEGIDA), good, according to the Politbarometer poll for ZDF television.
But 74 per cent of those asked rejected the group, whose rallies in the eastern city of Dresden have swelled from a few hundred three months ago to 25,000 this week.
The rejection was reflected by a majority of supporters across all the political parties with seats in parliament.
Chancellor Angela Merkel's statement this week that "Islam is part of Germany" divided opinion among those polled, with an equal 48 percent saying they agreed and disagreed.
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Merkel reiterated her opposition to the new anti-Islamic movement, telling Friday's Frankfurter Allgemeine Zeitung daily that "prejudice, coldness, even hatred" motivated organisers of the PEGIDA marches.
Some 100,000 people took to the streets across Germany on Monday in counter-demonstrations against PEGIDA, and to voice support for multiculturalism.