Some 73% of social class DE said in the poll that MPs named and shamed in the newspapers over their expense claims should be forced to stand down from Parliament compared with 51% from social class AB.
And on the possible effect on turnout, 28% of those polled said they were less likely to vote in the forthcoming European Elections because of the revelations about MPs' expenses.
However, 25% said they were more likely to vote. 47% said it would make no difference.
There will be elections for MEPs on 4 June - the same day as local elections for shire counties in England, outside the metropolitan areas.
1. Over recent weeks there have been a series of media stories about MPs' expenses and allowances. In light of this, do you agree or disagree with each of the following statements?
a. Gordon Brown should call a General Election at the earliest possible opportunity.
Don't know 2%
b. MPs named and shamed in the newspapers over their expense claims should be forced to stand down from parliament.
Agree 64% (by social class: AB - 51%, C1 - 64%, C2 - 69%, DE - 73%)
Don't know 2%
2. Do the revelations about MPs' expenses make you more or less likely to vote in the forthcoming European elections on 4th June?
More likely 25%
Less likely 28%
Makes no difference 47%
Don't know 1%
The poll was conducted for BBC2's Daily Politics programme by ComRes. They spoke to 1,011 voters on 13 and 14 May.