The Transitional Council of the Sudan Military Council has arrested members of the former government and promised not to disperse demonstrators.
A spokesman also called on the opposition to select the next prime minister and promised to implement their election.
The protests in Sudan on Thursday led to the rupture and detention of the longtime leader Omar al-Bashir.
Protesters have promised to stay on the streets until civilian rule begins.
A sit-in is being conducted outside the Ministry of Defense in the capital Khartoum.
What did the military council say?
In a press conference on Sunday, Maj Gen Sham's spokesman Ad-din Shanto told the military council he was "ready to implement the civilian government agreed by the opposition parties."
"We will not appoint a prime minister, you will vote for one," he said, referring to opposition and protest groups.
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He also said that the army would not forcefully remove the demonstrators from their seats, but urged the protesters to "do so resume normal lives "and stop unauthorized roadblocks.
"The raising of the weapons is not tolerated," he added.
The Military Council also announced a series of decisions, including:
- New Army Heads and Police
- A new chief of the powerful National Intelligence Service (NISS)
- Committee on Combating Corruption and Investigating the former ruling party
- Abolition of all media restrictions and censorship
- The release of detained police and security officials for the support of protesters
- A review of diplomatic missions and the dismissal of the Sudanese ambassador in the US and Switzerland
What happened in Sudan?
Protests against a rise in the cost of living began in December, but soon evolved into a broader call for the removal of Mr. Bashir and his government.
On Thursday, the military removed the veteran leader after almost 30 years in power and arrested him.
The coup leader, Defense Minister Awad Ibn Auf, announced that the military would oversee a two-year transitional period with elections and impose a coercive three-month state of emergency.
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But demonstrators vowed to stay on the streets and demanded an immediate change to the civilian government.
Mr. Ibn Auf himself resigned the next day, as did the dreaded security chief Gen Salah Gosh.
General Abdel Fattah Abdelrahman Burhan was then appointed Chief of the Transitional Military Council and became the third leader of Sudan in many days.
In a televised address on Saturday, Gen Burhan pledged "to uproot the regime", to commit to respecting human rights, ending a night-time freeze, immediately releasing political prisoners, disbanding provincial governments, killing the demonstrators, and causing corruption fight .
But the Sudan Professionals Association (SPA), which led the demonstrations, said the Council's response "did not meet the demands of the people" and called for protests to continue.
His demands include the reorganization of state security, the arrest of "corrupt leaders" and the dissolution of militias operating under former President Bashir.
The whereabouts of the former leader of Sudan are currently unknown, but the putschists said he was in a safe place.
Mr. Bashir has been charged by the International Criminal Court for war crimes and crimes against humanity in Darfur.
But the military council has said he will not extradite him, even though he may be tried in Sudan.
The national convention party of Mr. Bashir demanded on Saturday his overthrow for unconstitutional and demanded that the military council dismiss the party detained members.
Maj-Gen Shanto said the former ruling party will not be involved in the civilian transitional government, but could use candidates for the next election.