The foreign secretary will laud the cross-channel relationship as “one of competition, co-operation, similarity and difference” in a speech in Paris.
Officials said the visit was aimed at showing the friendship between the two nations was “bigger than Brexit”.
But there are warnings intelligence-sharing may be damaged if a framework is not set up to mitigate the risks.
A report by an Anglo-French task force whose members include former Nato Secretary General Lord Robertson and ex-French Prime Minister Bernard Cazeneuve has said co-operation in cyber security and counter-terrorism could be imperilled if the UK leaves in March without an overarching agreement.
The Brexit process is at a critical phase amid reports Theresa May may seek the approval of her cabinet within days to sign up to an agreement on the terms of the UK’s’ withdrawal.
Mr Hunt is one of a group of leading ministers reported to be insisting on seeing legal advice in full on the conditions of any agreement on the Irish border and how a so-called backstop arrangement – designed to keep the border open – would work.
france has taken an uncompromising line on Brexit, with its President Emmanuel Macron lashing out at the UK at a summit in Austria in September, saying its exit could not be allowed to undermine European unity.
But French industries also…