The Procopii (Procopius or Procopia in singular male/female) were a family of Ancient Rome. Among the bearers of the name (not all of which were actually related to the clan) are:
Procopius (usurper) (c.325-366), nephew of Emperor Constantine I, a Roman general and usurper emperor
Procopius, magister militum, father of Emperor Procopius Anthemius
Procopius Anthemius (c.420-472), a Western Roman Emperor;
Anthemiolus, son of Procopius Anthemius, Roman general;
Marcian, son of Procopius Anthemius, usurper;
Procopius Anthemius, son of Procopius Anthemius, Consul;
Romulus, son of Procopius Anthemius;
Alypia, daughter of Procopius Anthemius, wife of Ricimer.
Other people bearing the name "Procopius":
Procopius of Gaza (c.465-528), a Christian rhetorician
Procopius of Caesarea (c.500-c.565), an Eastern Roman historian and writer
Procopia (9th century), the daughter of Nicephorus I and wife of Michael I Rhangabes