His comments come after Theresa May received criticism over her “ambiguity” on the role of the European Court of Justice (ECJ) after March 2019, the date Britain officially leaves the EU.
Speaking on the BBC Andrew Marr Show, the Brexit Secretary said: “In 2019 we will leave. We will come out from under the jurisdiction and the lawmaking of the European Union, we will have a couple of years which allows people to adapt.”
A Department for Exiting the EU source said: “As the Secretary of State said, there will be an implementation period of up to two years which will ensure people are ready for the changes that will happen.
“The framework for this period would be the existing structure of EU rules and regulations.”
In her speech in Florence Theresa May said that she would be seeking a two-year transition period after Britain’s withdrawal.
Mr Davis denied claims that nothing would effectively change until 2021, five years after the referendum vote to leave.
She also promised the rights of EU citizens living in the UK would be written into British law and that the British courts would be able to take account of the rulings of the ECJ.
But, Mr Davis made clear that they would not be able to enforce their rights through the ECJ as the EU has been demanding.
“That is not going to happen. Basically, the aim with the withdrawal treaty will be to have British citizens in Europe and European citizens in Britain treated broadly similarly.
“We are not under any circumstances going to be accepting the overarching supremacy of the European Court. That is going.”
He said it was “quite likely” there would be a system of joint EU-UK courts to resolve disputes in this and other areas.
He continued: “Most international treaties, the Canadian-European trade treaty for example, have arbitration mechanisms that work between the two countries.”
“Normally what happens is it’s something like one of theirs, one of ours and one neutral panel, or something like that. And that’s almost certainly where we’ll end up on this.”
Mr Davis also sought to play down reports that Britain’s final “divorce bill” could be £40billion, after Mrs May said in her speech on Friday the UK would ensure no member state lost out financially as a result of Brexit in the current EU budget round.
He acknowledged that the UK would be paying “roughly” £10billion a year into the EU budget during the transition period.
But the Brexit Secretary added that the final settlement, including matters such as pension liabilities, would be a matter for negotiation and that the Government will continue to challenge the EU side’s financial demands.
He said: “Things like pensions and other things, these are debatable, to say the least.
“The last time we went through line by line and challenged quite a lot of the legal basis of these things and we’ll continue to do that.
“That does not mean we want to see our allies and friends in Europe massively disadvantaged in the next few years and that’s what we’re aiming not to do.”
Asked about claims by “Brussels sources”, quoted in The Times, that the final settlement could be around £40 billion, Mr Davis said: “They sort of made that up too.
“I’m not going to do an actual number on air, it would be ridiculous to do that, but we have a fairly clear idea where we are going on this.”
Source : EXPRESS