More than 100 people were injured during the shooting, the SCDC added, which erupted as thousands of protesters marched against the presidential palace in opposition to the October military coup.
In videos shared by Sudanese activists on social media, tear gas canisters were fired at protesters blocking highways leading to the presidential area. Sounds believed to be shots could also be heard in the videos.
This comes as Sudan's ruling sovereign council - led by General Abdel Fatah al-Burhan - said on Monday it would establish an anti-terrorism force to counter "several potential threats", according to a statement on Facebook.
There have been several mass demonstrations against the military regime since the October 25 coup, and at least 71 people have been killed by security forces, the SCDC said Monday.
The Forces of Freedom and Change, an alliance of civilian political parties and movements, called for two days of civil disobedience and a general strike in response to Monday's violence. "Resistance committees have called on people to barricade neighborhoods and main streets to stop the movement," it wrote on Facebook.
Sudan had been ruled by a troubled alliance between the military and civilian groups since 2019. But in October, the military effectively took control, dissolved the powerful sovereign council and the transitional government, and temporarily detained Abdalla Hamdok, the prime minister.
Al-Burhan reinstated Hamdok in November as part of an agreement between the military and civilian leadership, but Hamdok resigned earlier in January.
Previous CNN investigations have involved the intelligence service in the deaths of protesters. Its continued influence, sources say, was a "red line" for Hamdok, making relations with the military unsustainable.
Last week, the UN launched consultations among Sudanese parties and the military to find an end to the crisis.
CNN's Mohammed Tawfeeq contributed to this report..