Addressing the parliamentarians of the House of Commons, the Brexit secretary said that it was a "basic democratic arithmetic" to establish 700,000 people marching for a second vote could not overcome the outcome of the 2016 referendum.
He said: "All I would say is that the basic democratic arithmetic suggests that several hundred thousand people protesting in what was an impressive protest can not defeat the will of 17 million people who voted in the national referendum to leave the EU .
"We can not have a vote that makes the outcome of the referendum meaningless."
On Saturday, approximately 700,000 people marched in London, asking for the United Kingdom to have a second Brexit vote.
Anna Soubry and Phillip Lee, Tory's rebellious parliamentarians, were among the politicians who joined former Deputy Prime Minister Michael Heseltine, former cabinet minister Peter Mandelson and former Labor MP David Miliband to finance buses for protesters.
The Prime Minister, Theresa May, has said clearly that there will be no other referendum on cutting ties with the European Union.
At the Tory Party conference earlier this month, Ms. May said: "There are a lot of prominent people in British politics, in parliament and outside it, who want to stop Brexit.
"His latest plan is to convene a second referendum.
"They call it a 'Village Vote', but we had a People's Vote and the people decided to leave."
The former Labor spokesman, Campbell, who funded and traveled to the march on a bus from Burnley, said on the People's Vote website: "In her speech, Theresa May rejected the popular vote as a campaign of politicians.
"Not for the first time, she is totally misinterpreting the mood of the country.
"This is a movement of people from all backgrounds and from all regions who see that Brexit is going badly and they want to give their opinion on the outcome of the negotiations."
Jacob Rees-Mogg, a conservative deputy and chairman of the European Research Group, gave a quick response when asked if the British should be given another opinion when leaving the European Union.
Speaking on TalkRADIO, he said: "You say there may be hundreds of thousands, there were 17.4 million who voted to leave.
"We had the referendum. How many referendums do these proponents want for a second vote?
"The decision has been made and needs to be implemented."