He plans to overrule objectors in the Cabinet to introduce a 40p-per-unit minimum price, the Times reported.
According to the Daily Mail, he faces open revolt from Cabinet colleagues over the plan, which is to be put in place by April 2015 – before the date of the next election.
An announcement is expected to be made when the government launches its much-anticipated alcohol strategy – possibly as part of this year’s Budget statement on March 21.
A ban on advertising cut-price drinks deals is also in the pipeline, according to the Daily Telegraph.
TV and poster ads promoting cheap alcohol outside shops would be outlawed in the move, the newspaper said.
An aide to the prime minister told the Telegraph: “The PM has made very clear that he thinks the availability of cheap alcohol is a problem. It is not secret that this is an issue that the PM is concerned about.”