Egypt's National Salvation Front, a coalition of liberal and leftist groups, has called for protests on Friday to protect the achievements of 30 June.
"We are now asking people to protect the achievements of the second January 25 Revolution. We stress our determination to regain stability and rebuild the nation," read the statement.
Protesters must remain on the streets "until the procedures of the transitional phase are completed."
The NSF was one of the main political factions that demanded the removal of president Mohamed Morsi.
On Wednesday, army chief Abdel-Fattah El-Sisi announced the removal of Mohamed Morsi following days of huge street protests which began on 30 June.
Adly Mansour, the head of the constitutional court, was sworn in as interim president on Thursday.
Thousands of pro-Morsi supporters are holding rallies across Egypt on Friday to protest what they label a coup d'état against the country's first democratically elected leader.