The anti-Morsi Rebel (Tamarod) group has called on Egyptians to mark the national holiday on 6 October with public celebrations in locations including Tahrir Square and the Ittihadiya presidential palace.
The group said in a statement on Wednesday that Egyptians don't fear what it called "Brotherhood terror" and that "no one can stand against the will of the Egyptian people.”
Several Brotherhood-aligned Facebook pages have been calling on supporters to protest on 6 October against the ouster of the Brotherhood’s Mohamed Morsi from the presidency, which they describe as a military coup.
On Monday a senior member of the leftist Tagammu Party also called for rallies on 6 October, which marks the 1973 war against Israel, to stifle protests planned by the Muslim Brotherhood.
Amr Abdel-Rady said the party had received "confirmed information" that the Islamist group planned to "ruin the day by attacking state-owned facilities."
Clashes between hundreds of supporters of ousted Egyptian president Mohamed Morsi and opponents of the deposed Islamist leader erupted in Tahrir Square on Tuesday.
Egyptian security forces have closed off the square on days when large pro-Morsi demos are planned in an attempt to prevent sit-ins from starting in the birthplace of the January revolution.
Tamarod began in May as a campaign aiming to "withdraw confidence" from Morsi by collecting petitions. The campaign spearheaded calls for the massive 30 June demonstrations that led to his ouster by the military on 3 July.