According to later Church tradition the Praetorium was here at the Antonia Fortress where Pontius Pilate judged Jesus, but it is also possible that Jesus was judged at the Herodian fortress on the opposite end (NW) of the city near the modern Jaffa Gate. Herod's palace was the official residence of the Roman procurator's when they came to Jerusalem during the major Jewish festivals.
Many scholars favor the Antonia Fortress because of the balconies overlooking the Temple Court. There is also mention in John 19:13 of "the pavement" as the site of the trial.
The Via Dolorosa assumes that the Antonia Fortress is the site of the trial of Jesus before Pontius Pilate.
The statements of Josephus are very convincing that the headquarters of the Roman procurator were at Herod's palace. See International Standard Bible Encyclopedia.
The Bible also mentions that Paul the Apostle was arrested in the Temple Court where the angry Jewish mob tried to kill him. He asked for permission to speak to the crowd from the steps leading up from the Court of the Gentiles into the barracks of the Antonia Fortress (Acts 21:31-22:29). When Paul stood before the Council the following day he once again needed to be rescued and was taken up the stairs into the barracks (Acts 22:30-23:10). The soldiers later took him secretly at night from the Antonia Fortress to Caesarea (Acts 23:23-35).
(See Catholic Encyclopedia - Praetorium)
(And International Standard Bible Encyclopedia - Praetorium)
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