They have launched an open strike in Cairo and other big cities, threatening to escalate their protests unless their demands are met.
On Friday, Egypt saw mass protests across the country demanding that the former officials be tried quickly and in public.
The protesters want state institutions to be purged of those deemed loyal to former president Hosni Mubarak.
Egypt’s powerful Muslim Brotherhood opposition movement and several other political parties have called for more massive rallies and protests.
Meanwhile, the protest group known as the “Second Revolution of Rage” has also urged the new military rulers to speed up promised democratic reforms.
“We give the country’s rulers until Sunday night to declare public, real and swift trials for the officials of the toppled regime and the killers of martyrs,” the group said on its Facebook page.
“If not, there will be escalatory measures, including a call for civil disobedience,” it added.
Many are complaining that more and more civilians are being tried in military courts while members of Mubarak’s regime have not yet faced justice.
Many of them were protesters detained during anti-government demonstrations in February that toppled Mubarak.
Following Mubarak’s downfall, a military council took over in Egypt. Many Egyptians believe it is trying to derail the uprising.
Egyptians are still skeptical about a rapid transition towards democracy and civilian rule in the North African country.