The ICM survey says more than a quarter of those surveyed also believe a woman's at least partly responsible for being raped if she wears sexy or revealing clothing, or is drunk.
It also found that one in five people believe a woman is partly to blame if it is known that she has many sexual partners.
More than a third believe a woman is responsible to some degree if she's clearly failed to say NO to the man.
And just over a fifth of people surveyed said that if a woman was alone and walking in dangerous or deserted areas, she was totally or partly responsible.
More than one thousand people took part in the poll, which was commissioned by Amnesty International.
Overall, a slightly higher proportion of men than women held those views.
Shocking
Amnesty International, who commissioned the survey, says the findings of the ICM opinion poll are shocking.
Kate Allen, Director of Amnesty International UK told the Independent Online, “It is shocking that so many people will lay the blame for being raped at the feet of women themselves and the Government must launch a new drive to counteract this sexist blame culture.”
Jenny Watson, acting chairwoman of the British Equal Opportunities Commission told The Times, “There still seems to be an assumption that women are sexually available, so if a woman has gone out to have a good time, then she must want to have sex.”
Women’s rights groups told The Times that they were astounded and saddened by the findings.
Sheila Coates, the director of a rape crisis centre said victims who often blame themselves are reflecting society, “Most women and girls who contact us will say ‘This was my own fault.’ That’s the mirror of what goes on in a court case."
"While we have juries who are uninformed, we’re going to have rapists set free to do it again and again,” she said.
The number of recorded rapes of a female, in Britain, in 2004-05 was 12,897 – an increase of 4 per cent from the year before.