The majority of the public want net migration slashed to less than 50,000 people a year, according to a poll for a cross party group.
And around 80 per cent of adults are "concerned" or "very concerned" about immigration in the UK.
The poll comes ahead of the latest official migration and population statistics, which are to be published on Wednesday.
The YouGov poll, which was commissioned by Migrationwatch for the Cross Party Group on Balanced Migration, found just one in 20 adults supports the current levels of immigration.
Last year, Karen Dunnell, the National Statistician, said net immigration would have to be cut by 80 per cent if the Government wants to keep the population below 70 million - thought to be a sustainable level.
The balance of those settling in the country over those leaving would have to be cut to 50,000 a year. The current total is 237,000 a year.
In a joint statement, the co-chairmen of the cross party group, Labour MP Frank Field and Tory MP Nicholas Soames, said: "This poll shows the public's concern about immigration is very widely felt and the demand for change very strong indeed.
"The issue must no longer be swept under the carpet at Westminster. If mainstream parties do not tackle these issues, the extremist parties will. Silence and inaction on immigration are the recruiting sergeants for the BNP."
Immigration figures in February showed one in nine people living in Britain was born overseas.
They also showed that the number of short-term migrants, coming to work or study for less than 12 months, was down 13 per cent but the number of people applying for asylum rose sharply.
