The State Council Administrative Court began to oversee the case in June filed by lawyer Shehata Mohamed Shehata, demanding that the Brotherhood be disbanded.
The court adjourned the lawsuit till October 9.
State-run Nile News TV Channel said the same court is overseeing several lawsuits demanding the dissolution of the group.
The defendants in the lawsuit filed by Shehata include Prime Minister Kamal al-Ganzouri, Finance Minister Momtaz al-Saeed, Social Solidarity and Domestic Trade Minister Gouda Abdel Khaleq, Brotherhood Supreme Guide Mohamed Badie and President Mohamed Mursi.
Shehata argued that all efforts to disband the Brotherhood and prevent it from establishing a political party had failed.
He said the group is still engaged in political and social activism despite being banned for more than 60 years.
Under a Mubarak-era law, the former President dealt with the Brotherhood as an outlawed group and many members were arrested.
A group also protested in Cairo, calling for the group's dissolution, saying that its existence is illegal.
The Brotherhood was disbanded in 1954 under former President Gamal Abdel Nasser.
In 2011, Egyptian authorities approved the establishment of the Freedom and Justice Party, the Brotherhood's political arm.
