The Brotherhood and Islamist figures and leaders include ex-head of Egyptian Parliament Mohamed Saad El-Katatni, General Guide for the Muslim Brotherhood Mohamed Mahdi Akef and former Al-Shura Council member Gamal Gebril.
Political activist Alaa Abdel-Fattah has also been included in the group.
The prominent leftist already faces charges of violating a contentious protest law passed at the end of last year, as well a suspended sentence of one year for allegedly torching former presidential candidate Ahmed Shafiq's electoral headquarters.
Morsi's trial on charges of inciting murder was adjourned on January 8 to February 1 as he could not reach the court due to bad weather.
Morsi is due to appear in court on January 28 over the mass jail break in 2011.
The news of the fourth trial comes after the Supreme Electoral Committee (SEC) yesterday announced that the newly drafted national charter was approved by 98.1 per cent of voters in a referendum billed as a popular endorsement of Morsi's ouster.
The new charter would replace the one approved under Morsi, who was toppled by the military in July following mass protests demanding his ouster.
Morsi, who was Egypt's first democratically elected president, is being held in jail in Alexandria, facing several criminal charges relating to his time in office.
He says they are politically motivated.
More than 1,000 people have died in violence since Morsi's overthrow.
