"No one has the right to intervene in our foreign policy", Sheikh Mohammed said.
He also rejected "a military solution as an option" to resolving the crisis, and said Qatar could survive "forever" despite the measures taken against it. We are a platform for peace not terrorism.
The two countries, along with Saudi Arabia and the United Arab Emirates, cut diplomatic ties with Qatar on Monday, accusing it of backing Islamist militants and their enemy Iran - charges Qatar denies.
Meanwhile, Qatar's Al Jazeera network said it was suffering a cyber-attack.
Jordan has downgraded its diplomatic representation and revoked the license of Doha-based TV channel Al Jazeera.
In an apparent attempt not to compromise its good ties with Saudi Arabia, leader of the Gulf monarchies, Turkey initially offered to help resolve the worst diplomatic crisis in the region for years.
With food and other supplies disrupted and worries mounting about deepening economic turbulence, banks and firms in Gulf Arab states were seeking to keep business links to Qatar open and avoid a costly firesale of assets.
Those breaking ties with Qatar are the UAE, Saudi Arabia, Egypt, Bahrain, the Maldives, Mauritania and Libya's eastern-based government. Qatar hosts 8,000 US military personnel at al Udeid, the largest USA air base in the Middle East and a launchpad for USA -led strikes on the Islamic State militant group. Home to some 10,000 troops, it is central to the US-led fight against the Islamic State group in Iraq and Syria.
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India bowled an astounding 141 dot balls which is equivalent to 23.3 maiden overs out of the 44.3 overs that South Africa batted. South Africa had only 119 on the board after 25 overs, and it was obvious Faf du Plessis and de Villiers had to lift the tempo.
Anxious residents have responded to the crisis by emptying grocery stores in the capital of Doha, and Saudi Arabia has blocked trucks carrying food from entering the country across its only land border.
Turkey, which works closely with Qatar in the energy sector, has walked a fine line between defending Qatar and abstaining from openly antagonising Saudi Arabia.
"The request for political protection from two non-Arab countries and military protection from one of them could be a new tragic and comic chapter", UAE Minister of State for Foreign Affairs, Anwar Gargash, wrote on Twitter. The agreement did not detail a timeframe or the number of troops.
The Brotherhood denies the accusation. In fact several of the entities and individuals identified are explicitly affiliated to the Government of Qatar, the report said.
Analysts say the crisis is an extension of a pre-existing dispute which saw Saudi Arabia, the UAE and Bahrain temporarily recall their ambassadors from Doha in 2014 over Qatari support for Egypt's Muslim Brotherhood.
But a diplomat in Kuwait briefed by foreign ministry officials said the emir's diplomacy had been about damage control and had yet to produce tangible results, with personality clashes playing a big role in the impasse.
Palestinian Islamist group Hamas, some of its leaders based in Doha, is no closer to leading the Palestinian people then when it fell out with secular rivals in the Fatah party in 2007.
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