Mr Charupong, who is also the interior minister, said Section 7 of the constitution cannot be invoked as proposed by People's Democratic Reform Committee (PDRC) leader Suthep because Prime Minister Yingluck Shinawatra is still in her post and has not done anything wrong.
As it stands, the government can at most dissolve the House of Representatives and call a snap election, he said.
The Pheu Thai leader said political fights must be settled through policies, practical achievements, principles and reasoning. "Losers in elections can't simply deny the results. Parliament should be used as the venue for talks. Disagreements can be settled by votes," he added.
"I would like the opposition and Mr Suthep to come for talks, but they should listen to the voice of the majority otherwise there will be arguments.
"They should have the good spirit to accept the different opinions of the people's representatives. We have to listen to the people. Differences of opinion must be decided by vote. The minority should accept this truth with respect for one another," Mr Charupong said.
Deputy Prime Minister and Foreign Minister Surapong Tovichakchaikul called on PDRC leader Suthep to surrender if he wants to discuss his plans for a "people's council" with the government.
Mr Surapong, who is in charge of the Centre for the Administration of Peace and Order (CAPO), said Mr Suthep must hand himself in to face rebellion charges in order to hold talks with the government on his ideas.
Officials would be breaching Section 114 of the Criminal Code and liable to between three to 15 years in jail if they talked to Mr Suthep while he is still wanted under an arrest warrant, said Mr Surapong.
Mr Surapong added that Mr Suthep's demand that a royally-bestowed prime minster be drafted in under Section 7 of the charter is unconstitutional.
"Mr Suthep's proposal is a figment of his imagination. He is sick and should see a doctor. He may have been under too much pressure from legal cases and the arrest warrant against him, causing his thinking to become abnormal," he said.
"We are glad to listen to his proposals regarding Sections 3 and 7, as long as they are within the scope of democracy and the constitution."
Section 3 says sovereign power belongs to the Thai people, and the King as Head of State shall exercise such power through parliament, cabinet ministers and the courts in accordance with the provisions of the constitution.
Suriyasai Katasila, coordinator of the Green Politics Group, said he believed that the PDRC's proposals concerning Sections 3 and 7 of the charter could reduce the risk of civil war in the country.
"The proposals follow the principles of non-violence and the reforms would benefit everyone, not just certain groups.
"When people say that the country has not yet reached a political dead-end, they just want to protect their political advantage without taking the adverse impact on society into account," Mr Suriyasai said.
He warned Prime Minister Yingluck not to prolong the current "political game", because a government that lacks legitimacy cannot engender confidence or expect acceptance from others, even if it is democratically elected.