"We call on the security forces to immediately release the illegally detained," RIA Novosti quotes the statement of the "troika".
The statement also expresses deep concern about what is happening in the country.
The Troika called the military's actions a "betrayal of the revolution" in Sudan.
Al Hadath previously reported on the house arrest of Sudanese Prime Minister Abdullah Hamduk.
It is also reported that the ministers of communications, information, finance, and industry are among the detainees.
The Russian Foreign Ministry said that the current situation in Sudan is the result of an acute systemic crisis that has been observed in the country over the past two years.