In a televised statement, Defense Minister Awad ibn Auf also announced the imposition of a one-month curfew -- starting Thursday evening -- and a three-month countrywide state of emergency.
Ibn Auf further announced the suspension of Sudan’s 2005 constitution, along with the dissolution of the Sudanese presidency, parliament, and council of ministers.
A military council, he added, would now be drawn up to run the country’s affairs during the post-Bashir interim period.
Sudanese opposition leaders, for their part, have described the army’s terms as “unacceptable”.
While the opposition supports al-Bashir’s departure, it rejects what it describes as the “replacement of one military coup with another”.
Al-Bashir came to power on the back of a 1989 military coup against the democratically-elected government of Sadiq al-Mahdi.