Either thrown from the pinnacle of the Temple or stoned to death, depending on whether or not you trust Josephus, he was definitely martyred in a highly painful way.  
This biblical character is often confused the son of Alphaeus.  Either thrown from the pinnacle of the Temple or stoned to death, depending on whether or not you trust Josephus, he was definitely martyred in a highly painful way.  Before his death, he figured prominently in Acts as the leader of the church in Jerusalem, and penned a New Testament epistle.  He shares his name with one of the Apostles, who was one of three to witness Jesus' transfiguration and agony in Gethsemane.  FTP, give this name that also identifies the brother of Jesus.
This biblical character is often confused the son of Alphaeus.  
St. James the Just or the Great or the Younger or the Lesser