Mr Farage said his "political ambition has been achieved" with the UK having voted to leave the EU.
He said the party was in a "pretty good place" and said he would not change his mind about quitting as he did after the 2015 general election.
Leading UKIP was "tough at times" but "all worth it" said Mr Farage, who is also an MEP. He added that the UK needed a "Brexit prime minister".
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