coup that toppled long-time leader Omar al-Bashir amid a wave of protests.
Defence Minister Awad Ibn Auf announced his decision on state TV, naming as his successor Lt-Gen Abdel Fattah Abdelrahman Burhan.
The army has said it will stay in power for two years, followed by elections.
But protest leaders say they will not leave the streets until the military hands over to a civilian government.
Mr Bashir’s downfall followed months of unrest that began in December over rising prices.
Mr Ibn Auf was head of military intelligence during the Darfur conflict in the 2000s. The US imposed sanctions on him in 2007.
The new man in charge is also a top military figure, but the Associated Press news agency reports that his record is cleaner than other Sudanese generals. He is also said to have met with protesters to hear their views.
Mr Bashir has been indicted by the International Criminal Court (ICC) on charges of war crimes and crimes against humanity over the Darfur conflict.