Burhan led a military council that seized power in April after the military ousted longtime president Omar al-Bashir, following mass protests against his 30-year rule.
The five military members include Abdel-Fattah Al-Burhan, Mohamed Hamdan Daqlu, Yasir Abdel-Rahman Al-Atta, Shams-Eddin Kabashi and Ibrahim Jabir.
The other five members of the Sovereign Council (SC) will be selected by the current ruling Transitional Military Council, a body that will be deactivated once the Sovereign Council becomes operational.
Burhan will head the council for the first 21 months and a civilian will take over for the remaining 18 months of the transitional period, which is due to end in 2022 with democratic elections.
The new Sovereign Council was established under a power-sharing agreement between the military and the protesters, following pressure from the United States and its Arab allies, amid growing concerns the political crisis could ignite a civil war.
Al-Bashir, who came to power in an Islamist-backed military coup in 1989, had failed to keep the peace in the religiously and ethnically diverse Sudan, losing three quarters of the country's oil wealth when the mainly animist and Christian south seceded in 2011 following a referendum.
Abdallah Hamdok, a former United Nations economist, is set to become interim prime minister.
As planned, the TMC is scheduled to be dissolved after the formation of the Sovereign Council and to swear-in before the judiciary chairman.
The transition's key documents were signed on Saturday at a ceremony attended by a host of foreign dignitaries, signalling that Sudan could be on its way to shedding its pariah status.
Protesters continued to call for civilian rule in the wake of his replacement by the TMC.
Every newspaper in Sudan made its headlines with Bashir's landmark court appearance on Tuesday.
'The accused told us that the money was part of a sum of $25 million sent to him by prince Mohammed bin Salman to be used outside of the state budget, ' he said.
When Bashir was arrested large amounts of cash in different currencies were found in his home, including 351,000 U.S. dollars, more than 6 million euros and 5m Sudanese pounds, a judicial source said at the time.
Amnesty urged the country's new transitional institutions to ratify the ICC's Rome Statute, a move that would allow for his transfer to the global tribunal.
This article has been adapted from its original source.