Some 20 conversations involving politicians, police, lawyers, journalists and members of civil society have been leaked on social media since mid-October, media watchdog Reporters Without Borders said.
The Information and Communication Technologies Authority said the temporary social media ban was in response to illegal postings.
The prime ministers office said the restriction was necessary to preserve the national security and integrity of the country, following the publication of certain audio clips.
A crisis committee is currently meeting to contain the existing risks as soon as possible, the office of Prime Minister Pravind Kumar Jugnauth said in a statement.
Emtel, one of the three telecommunications operators in the Indian Ocean country, said it was in the process of implementing the directive and that the user experience will be progressively disrupted.
