This is reported by Sky News channel.
Sunak got 137 votes, Truss got 113.
Deputy Minister for International Trade Penny Mordaunt dropped out of the race for prime minister with 105 votes.
On July 7, the current British Prime Minister Boris Johnson announced his decision to step down as Prime Minister of Great Britain and leader of the country's Conservative Party.
He will continue to fulfill his duties until the election of a new head of the cabinet of ministers.