Speaking in Austria, the Brexit Secretary said Britain wants to keep "close, even-handed co-operation" with European Union regulatory authorities even after the United Kingdom has withdrawn from the bloc.
'Such mutual recognition will naturally require close, even-handed co-operation between these authorities and a common set of principles to guide them, ' he said.
The Brexit secretary went onto to say that when the United Kingdom has left the European Union, it will continue on a successful path and will not be "an Anglo-Saxon race to the bottom".
"They fear that Brexit could lead to an Anglo-Saxon race to the bottom, with Britain plunged into a Mad Max-style world borrowed from dystopian fiction".
Mr Davis was questioned on recent comments by members of his Conservative Party about the 1998 deal.
Theresa May's Cabinet has yet to reach a consensus on exactly what the United Kingdom should hope to achieve from Brexit, with reports of a widening rift over which direction to take.
"This will be a crucial part of ensuring our future economic partnership is as open, and trade remains as frictionless as possible", Mr Davis said.
Britain's Brexit Secretary David Davis has said the British government continues to back the Good Friday Agreement. These fears about a race to the bottom are based on nothing, not history, not intention, nor interest.
"Frankly the competitive challenge we in the United Kingdom and the European Union will face with the rest of the world. will not be met by a reduction in standards".
The current regulatory regime Mr Davis describes is part of the single market, which Theresa May has promised that Britain will leave when it exits the EU.
Senior cabinet ministers are to meet at Chequers later this week to attempt once again to thrash out the government's position as it prepares to enter the next phase of Brexit negotiations on the shape of a new trade deal. "Neither side should put up unnecessary barriers during this process", he will say.
He will also stress that the commitment to high standards is shared across government.
Farmers could be given extra state payments to treat livestock better, Michael Gove will announce.
It highlights: the fact that the European Union largely sets minimum standards not maximum ones; that many senior figures have argued strongly in favour of deregulation; and that the United Kingdom may not have the resources to keep up with changes to European Union regulations after Brexit so will converge "by accident rather than design".
EU chief negotiator Michel Barnier has often spoken of concerns about a race to the bottom on environmental, social, and labor legislation, and has said that if Britain indulges in such practices, the European Parliament might refuse to approve a trade deal.
It also says that the United Kingdom, as a "mid-sized economy", can only maximise its trading benefits by aligning to a larger bloc, with the European Union or U.S. being the obvious options.
The first would ensure fair competition, and mean an European Union company must not be allowed to be heavily subsidised by the state and still have unfettered access to the United Kingdom market, and vice versa.