24 September 2016 Last updated at 16:56 BST
She told the BBC's Nick Eardley that Mr Corbyn "can unite the party" and has to "want to unite the party".
Speaking after a special conference in Liverpool, Ms Dugdale said the Labour party at Westminster couldn't fight the Tories if they are fighting themselves.
Scottish Labour leader Kezia Dugdale has said she believes a UK party led by Jeremy Corbyn can win a general election.