The findings also suggest Labour's lead over the Tories has dropped from six points to four despite the Opposition revealing manifesto pledges at its party conference in Brighton.
Ed Miliband spoke last week of his plans to reduce the cost of living, including proposals for a Labour government to freeze gas and electricity prices for homes and businesses for 20 months after the 2015 general election.
But t he ComRes survey for the Independent shows Labour attracted support from 37% of those questioned, unchanged from August, while the Conservatives received 33%, up two points.
The Liberal Democrats received 11% of the vote, down one point, and the UK Independence Party gained one point to 11%, with the other parties receiving 8%, down two points.
In a choice between Labour and the Conservatives o n energy prices, 48% of those polled believe Labour would be more likely than the Tories to keep energy prices down if they won the next election.
People also believe the cost of living is likely to be lower under Labour than the Tories, according to the survey, as 41% think their family will be better off under Mr Miliband's party compared to 31% who back the Conservatives.
But o n keeping the economy growing, 42% of respondents said the Tories are more likely to achieve this compared to 33% for Labour.
The Tories were also judged to be more likely to keep public spending under control than Labour as they received 47% of the vote, while 28% suggested the opposite would be true.
ComRes interviewed 1,001 British adults by telephone between September 27 and 29.