Soldiers and police patrolled the streets of the capital Male in stepped-up security, one day after vice president Ahmed Adeeb's arrest as he arrived back in the honeymoon islands from an official trip abroad.
The arrest followed a series of sackings of government officials, which have fuelled political unrest and further damaged the Maldives' image as an upmarket tourist destination.
"The vice president is being detained for the safety and security of the entire nation," Yameen said in a nationally televised address.
Yameen claimed bomb-making equipment had been discovered during raids on the homes of Adeeb's associates in the capital yesterday.
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"During raids on close associates of Adeeb, police found bomb-making material," the president said. "There are many allegations concerning the vice president," he added.
A court ordered Adeeb detained for 15 days to give police more time for investigations. The government has said he would be charged with "high treason".
Police carried out a series of raids including on Adeeb's residence and those of his first and second wives, that ended overnight yesterday, according to a police source.
Yameen, who came to power in November 2013 following a controversial election, jailed Nasheed for 13 years in March on terror-related charges and faces international censure over his crackdown on dissent.
Supporters of Nasheed, the main opposition leader, have maintained that the conviction was part of a strategy by Yameen's regime to silence him.
Hours before Adeeb's arrest, the president sacked his police chief, the latest in a series of firings seen by some as a purge of individuals whose loyalties may be in doubt.
In his address Yameen accused Adeeb of trying to destroy evidence and blocking the inquiry into the blast, without giving details.