"They shouldn't have done it frankly because Cabinet meetings are supposed to be a private space in which we have a serious discussion", he complained.
"What I know is that we are not a group of clones, we have discussions around the Cabinet table and outside Cabinet, we debate issues, we decide what's right and we get on with it. If there is, I am no part of it".
Asked if the premier thought Hammond was trying to frustrate Brexit, May's spokesman said: "The government is all working together to deliver a Brexit which delivers on the will of the British people".
"But when you take into account the very generous contributions public sector employers have to pay in for their workers' pensions - their very generous pensions - they are still about 10% ahead".
The Sunday Times cited five unidentified sources as saying Hammond had described public-sector workers as "overpaid" during the cabinet meeting last week, while Saturday's Sun newspaper reported that Hammond made a sexist comment about women driving trains.
The chancellor denied making the latter comment - he said he was making the point it was outrageous there were not more female train drivers - but did not deny making the comments about pay.
But he suggested that hard Brexiters who don't like his plans were responsible for leaking the damaging remarks.
Fox said his Cabinet colleagues needed to keep "very quiet" and stick to their own departments.
"Our backbenchers are furious and the only people smiling at this will be in Berlin and Paris", declared the Scot.
All the three men, and also First Secretary of State Damian Green, blamed the wrangling on too much "warm prosecco" and insisted Cabinet ministers needed a long holiday.
Iain Duncan Smith, former Tory leader, said he was dismayed at the leadership speculation in the Sunday papers, telling some of his colleagues: "Just for once, shut up for God's sake".
Extraordinary intervention follows growing briefing war between senior members of the government.
After George broke down into tears, John said: "That's significant isn't it?"
Mr Grayling today denied he was briefing against the Chancellor, as did allies of Mr Johnson, Mr Gove, Brexit Secretary David Davis and International Trade Secretary Liam Fox.
The Government is now under pressure to increase public sector pay and lift the current 1% cap.