David Cameron is set to make Michael Gove the justice secretary and Chris Grayling leader of the Commons in his new Conservative government.
Nicky Morgan will remain as education secretary and minister for equalities.
The PM, who secured the first Conservative majority since 1992, has already said his chancellor, home secretary, foreign secretary and defence secretary will stay the same.
Former Immigration Minister Mark Harper is expected to be the new chief whip.
Mr Harper resigned from the government in February 2014 after he discovered that his cleaner was no longer entitled to work in the UK, but rejoined the government five months later as minister for disabled people.
The Conservatives won a total of 331 seats at the general election, with Labour leader Ed Miliband, Lib Dem leader Nick Clegg and UKIP leader Nigel Farage all resigning after suffering losses.
In other election developments:
- Senior Labour MPs are taking soundings as the party begins its search for a new leader.
- Tim Farron said he would decide “in the next few days” whether to put himself forward to replace Nick Clegg as Lib Dem leader
- Anti-austerity protests took place outside Downing Street and in Cardiff
- Former Labour minister Liam Byrne has admitted the “there is no money” note he wrote on leaving office in 2010 was a “crass mistake”
- SNP leader Nicola Sturgeon has met all her party’s 56 new MPs in Edinburgh after they swept the board in Scotland
- The Conservatives have also made gains in council elections in England, gaining more than 500 seats
The new appointments join Chancellor George Osborne, Home Secretary Theresa May, Foreign Secretary Philip Hammond and Defence Secretary Michael Fallon in Mr Cameron’s government.
Source: BBC News