Only the upper house, the Shura Council, had remained active after the lower house was dissolved by military-led authorities shortly before Mursi was elected a year ago.
State TV also said that Adli Mansour, the constitutional court chief justice sworn in as head of state on Thursday, had appointed Mohamed Ahmed Farid as head of intelligence.
He replaces Mohamed Raafat Shehata, a Mursi appointee, who becomes national security adviser to Mansour.