The survey for ITV News showed even less faith in Chancellor of the Exchequer George Osborne and Deputy Prime Minister Nick Clegg, the Financial Times reported. While 53 percent of respondents do not trust Cameron, 60 percent do not trust Osborne and 66 percent say the same of Clegg, leader of the Liberal Democrats who are allied with the Conservatives in the government.
Just over one in five, 21 percent, said they have great faith in Osborne's economic leadership.
Last month, 47 percent said they did not trust Cameron and 52 percent said the same of Osborne.
The budget released last month cuts the highest marginal tax rates while imposing a "granny tax" of freezes on retirees and adding a "pasty tax" for hot takeout food -- provisions that have taken a toll on the government's popularity.
The coalition's loss has not been a gain for Labor, the report said. Party Leader Ed Miliband and Ed Balls, the shadow chancellor, both had ratings significantly lower than those of their counterparts.
ConRes interviewed 2,028 adults for the poll Saturday and Sunday.
No margin of error was reported.