Vardakar ruled out the plans that are reportedly being considered by the United Kingdom government, saying: "No, it is not a solution that we envisage".
The plans for pre-registration would affect over 34,000 business people, nurses and farmers who have to commute over the border every day.
The future of the Irish border post-Brexit was always going to be a central plank of negotiations but it has only really become the dominant sticking point since late past year.
In a report by The Independent, this new proposal has been strongly criticised by the Irish government, who claim that it will break Theresa May's pledge of "physical infrastructure and associated checks" at the border once Brexit has occurred.
David Davis, Boris Johnson, Theresa May and Oliver Robbins have not visited the Irish border, despite it being a key part of current talks.
Taoiseach Leo Varadkar has said it would be "helpful" for leading Brexiteers such as Boris Johnson to visit the Irish Border to see for themselves how it is now "invisible".
"I can't see anything negative in a British cabinet minister viewing the Border, seeing what it looks like", he said.
"They would certainly be very welcome to visit the border", he said from Austin, Texas.
Mr Varadkar said the Government has good engagement with the British cabinet and has explained how the Brexit issues are unique to Ireland but, as "in any walk of life... sometimes you need to see things with your own eyes". "And to see that it is invisible". Last week, Queen's University researchers concluded that technology could not make the border frictionless. "It can not make a hard border frictionless", said Katy Hayward, a political sociologist at Queen's University.
While Theresa May has previously promised that there would be no infrastructure set up on the border post-Brexit, this new strategy would involve the installation of CCTV cameras to track vehicle licence plate numbers.