A Bill regarding Referendums is currently going through Parliament.
https://publications.parliament.uk/p...09/5801009.pdf
Quote:
1 Referendums criteria
(1) A proposition to change constitutional or parliamentary arrangements that is the subject of a referendum in the United Kingdom is deemed to be disagreed to (notwithstanding the form in which the question appears on ballot papers) unless the following criteria are met.
(2) Before the referendum is held—
(a) each House of Parliament passes a motion that the proposition be agreed to, and
(b) if in either House the motion is passed on a division, the number of members who vote in favour of the motion is equal to or greater than two thirds of the number of those who vote.
(3) The number of those who vote in the referendum is equal to or greater than 55% of all those on the current electoral register.
(4) The number of those who vote in favour of the proposition is equal to or greater than 60% of those who vote in the referendum.
2 Extent, commencement and short title
(1) This Act extends to England and Wales, Scotland and Northern Ireland.
(2) This Act comes into force on the day on which it is passed.
(3) This Act may be cited as the Referendums Criteria Act 2020.
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For comparison with European Referendum Act 2015 :-
In the House of Commons, it passed 316 votes to 53 on its third reading in the Commons (so would have met Section 2b)
In the actual Referendum vote, 35,577,342 out of 46,500,001 Registered Voters voted, which was 72.21% (so would have met Section 3)
17,410,742 out of the 35,577,342 voters voted to leave, which was 51.89% of those who voted (so would not have met Section 4)