Foreign Minister Sheikh Mohammed bin Abdulrahman Al-Thani called measures imposed against Qatar by Saudi Arabia, the UAE, Bahrain and others "an act of aggression".
"We have to make it very clear for everyone, negotiations must be done in a civilised way and should have a solid basis and not under pressure or under blockade," he told reporters in Doha.
"Qatar under blockade -- there is no negotiation. They have to lift the blockade," said Sheikh Mohammed.
On June 5, Saudi Arabia and its allies cut all diplomatic ties with Qatar, pulling their ambassadors from the gas-rich emirate and giving its citizens a two-week deadline to leave their territory.
The measures also included closing Qatar's only land border, banning its planes from using their airspace and barring Qatari nationals from transiting through their airports.
Saudi Arabia, the UAE, Egypt, Bahrain and others accuse Qatar of supporting and funding "terrorism" and of working with regional rival Iran, charges Doha firmly denies.
"Our system here is based on a consensus between the people and its ruler."
Sheikh Mohammed's demand came as a UAE state minister warned Qatar's diplomatic isolation could "last years".
"We do not want to escalate, we want to isolate," state minister for foreign affairs Anwar Gargash told journalists in Paris. "This isolation can take years."
Gargash said that while Qatar's rivals were "betting on time", a solution could not be brokered until it abandoned its support for "extremist Islamists".
"They support groups linked to Al-Qaeda in Syria, Libya... And in Yemen.
"This state is weaponising jihadists and Islamists, it is using this as a weapon of influence," he added.
Sheikh Mohammed said Qatar had not received any demands from the Gulf states or from countries seeking a diplomatic solution, including Kuwait, the United States, France and Britain, as the conflict dragged into its third week.
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