CAIRO — Three top officials of Egypt’s Muslim Brotherhood will go on trial on Aug. 25, on charges of inciting members of their group to kill rioters in front of its headquarters during the upheaval that led to President Mohamed Morsi’s ouster on July 3, a Cairo court ruled on Sunday.

Although the authorities have detained dozens of Brotherhood members since Mr. Morsi’s fall from power, the case against the group’s spiritual leader, his deputy and another key figure is the first to be scheduled for trial.

The pending prosecutions are a new blow to the Brotherhood, which emerged as the country’s strongest political movement after the ouster of President Hosni Mubarak in 2011, but has seen all of its newfound power stripped away in a matter of weeks.

The scheduling of the trial will most likely further complicate intensive political and diplomatic efforts to persuade Mr. Morsi’s supporters to break up two large sit-ins in Cairo that they have committed to maintaining until he is restored to power.