The National Salvation Front (NSF), a coalition of secular and liberal parties, has said it will participate in Tuesday's official commemoration of the Mohamed Mahmoud Street clashes.
The victims of other clashes during the 18 months of direct military rule following the 2011 uprising – such as Maspero, Port Said and the cabinet building – should also be included in the commemoration, the front said in a statement.
Rival groups are expected to take part in Tuesday's commemoration at the site of the clashes, just off Cairo's Tahrir Square.
Supporters of army chief Abdel-Fattah El-Sisi plan to demonstrate in Tahrir Square holding aloft posters of El-Sisi, whom they urge to run for president.
Several youth groups have condemned the move.
The recently established Way of the Revolution Front held a news conference on Saturday in Mohamed Mahmoud Street saying it "will not let them [supporters of both the military and Islamists] claim ownership of the revolution."
Meanwhile, there are reports that supporters of deposed Islamist president Mohamed Morsi will also demonstrate on Tuesday to "condemn the military." They say the army staged a coup against Egypt's first democratically elected president when it deposed him in July amid mass protests against his rule.
On Saturday, authorities started building a memorial in Tahrir Square to commemorate the "martyrs of the 25 January 2011 and 30 June 2013 uprisings."
Around 47 protesters were killed during four days of clashes between security forces and protesters opposed to the military council on Mohamed Mahmoud Street in November 2011.
During the clashes, protesters called for the ruling military council to step down and accused the Muslim Brotherhood, Egypt's largest political force at the time, of failing to adequately condemn the violence against protesters.