"The Alliance for Freedom and Change (umbrella protest movement) is fully responsible for recent unfortunate incidents. including blocking roads which is violating worldwide humanitarian laws", Lieutenant General Jamaleddine Omar said on state television late Sunday.
The Sudanese Professionals Association, which first launched protests against Bashir in December, has said the disobedience campaign would continue until power is transferred to a civilian government.
The breakthrough in the standoff between the military rulers who toppled veteran leader Omar al-Bashir and protesters demanding civilian rule followed mediation led by Ethiopian Prime Minister Abiy Ahmed.
A protest strike kept businesses shut and residents indoors in the Sudanese capital Tuesday as a top United States diplomat prepared a visit to press the ruling generals to halt a bloody crackdown.
Lieutenant General Jamaleddine Omar, a military council member, said on state television late on Sunday: "The military council has chose to reinforce the presence of armed forces, RSF [Rapid Support Forces] and other regular forces to help normal life return".
But protesters say their shutdown is already successful.
Protesters had set up several roadblocks across many areas of the capital that the ruling generals have vowed to remove in order to bring "life to normal".
However, he said the TMC was adamant that the head of the new council should be from the military.
Fourth American reported dead at Dominican Republic resort in past two months
David Harrison , a Maryland resident, also died past year at the Hard Rock Hotel & Casino resort, the New York Post reported. The Maryland woman said she continues to be suspicious, especially following the deaths of several more people since.
The crackdown came after negotiations between protest leaders and the generals collapsed late last month over who should lead the new governing body - a civilian or a soldier.
A senior U.S. diplomat, Tibor Nagy, is to arrive in Khartoum this week for talks on the crisis.
The two warring sides agreed to also resume talks on the handover of power to a civilian authority.
Nagy will also travel to Ethiopia to meet with government officials and African Union (AU) representatives to "discuss the situation in Sudan and efforts to support a political solution".
A continuing general strike could significantly paralyse the country.
"We can not do anything".
The top U.S. diplomat to Africa is heading to Sudan in an attempt to negotiate between the ruling generals and protest leaders and to call for an end to violence and intimidation by paramilitaries loyal to the junta.
Hollywood star and activist George Clooney urged the global community to take action against the generals behind the crackdown.
The Janjaweed, a militia accused by rights groups of widespread abuses at the height of Darfur's conflict which started in 2003, have been absorbed in Sudan's paramilitary Rapid Support Forces.