Shukoor read out the declaration on state television shortly after Yameen sent three letters to the judges asking them to reverse their decision.
Former President Mohamed Nasheed, the first democratically-elected leader of Maldives was charged with terrorism in March 2015 and granted asylum in the United Kingdom after he sought medical treatment there. Gayoom is the half-brother of President Yameen.
She called on Mr Yameen, the army, and police to comply with the rule of law, and for the constitutional rights of Maldivians to be restored.
With Maldives in turmoil following a face-off between the government and its Supreme Court, India is expected to follow a standard operating procedure (SOP) that includes keeping the troops in readiness, government sources indicated today.
President Yameen late Monday declared a state of emergency after his last ditch attempt to convince the top court to revoke the order failed after the apex court rejected the government's "legal and judicial" concerns over the order.
Several nations have called on the Maldives to respect the court order, with US State Department spokeswoman Heather Nauert alleging the President has "systematically alienated his coalition, jailed or exiled every major opposition political figure". He asked the USA to ensure that all American financial institutions stop all transactions of the Yameen regime's leaders.
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The Maldives, home to 400,000 people and best known as a tropical paradise for tourists, has experienced political unrest since Nasheed, the island's first democratically-elected leader, was forced to quit amid a mutiny by police in 2012.
The 82-year-old also gave a video interview where he said he had done nothing to be arrested.
Yameen, facing threats from a galvanised political opposition to impeach him for alleged corruption, told the nation in a televised address that the judges were detained for plotting his overthrow.
"The people of Maldives have a legitimate request to world governments, especially to India and the United States", said Nasheed.
Nasheed is among a total of nine individuals whom the apex court declared were subject to unfair judicial proceedings and therefore can not be kept in prison.
"The Supreme Court ruling stands in defiance of the highest authority in the country: the constitution", government spokesman Ibrahim Hussain Shihab said in a statement released on Monday.