"Next Friday, all honorable Egyptians must take to the street to give me a mandate and command to end terrorism and violence," AFP quoted General Abdel Fattah al-Sisi as saying on state television on Wednesday.
The army chief ousted President Mohamed Mursi on July 3 after mass demonstrations demanding Mursi’s ouster.
He said he had warned the president that he must either resign or hold a referendum.
Almost 200 people have been killed in clashes since the days leading up to Mursi’s overthrow.