Chancellor Nadhim Zahawi and Transport Secretary Grant Shapps have announced they are standing for the Conservative Party leadership.
Mr Shapps told the Sunday Times he was ruling out a general election if he was successful in becoming prime minister.
Mr Zahawi has said he will lower taxes, boost defence spending, and continue with education reforms he began while education secretary.
Earlier, Defence Secretary Ben Wallace said he would not run.
In a statement on Twitter, Mr Wallace said his focus is on his current job and "keeping this great country safe".
The cabinet ministers join former Chancellor Rishi Sunak, Attorney General Suella Braverman, former equalities minister Kemi Badenoch and chairman of the Foreign Affairs Committee Tom Tugendhat in the race to take over from Prime Minister Boris Johnson.
https://www.bbc.com/news/uk-62109243