Foreign Secretary Liz Truss came in third but will hope to pick up votes from Ms Braverman's supporters in the next round.
Mr Sunak picked up 101 votes, Ms Mordaunt 83, Ms Truss 64, Kemi Badenoch 49 and Tom Tugendhat 32.
Ms Braverman had 27 votes, five fewer than she had in Wednesday's first round of the contest despite the field being smaller on Thursday.
Mr Tugendhat also dropped five votes, but his team insisted he would not quit the race.
Ms Mordaunt gained the most votes, putting on 16 from Wednesday's total.
Mr Sunak put on an extra 13 votes and is closing in on the 120 votes required to guarantee a place in the final two, who will face a vote of the Tory membership to decide the next party leader and prime minister.
This story is from the July 15, 2022 edition of Manchester Evening News.
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This story is from the July 15, 2022 edition of Manchester Evening News.
Start your 7-day Magzter GOLD free trial to access thousands of curated premium stories, and 8,500+ magazines and newspapers.
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