How do you get a reputation with the Ashen Verdict in World of Warcraft

Reputation with the Ashen Verdict comes from only one source: Icecrown Citadel. When you first speak with an NPC from the Ashen Verdict, you will become Neutral. By killing mobs and completing weekly quests inside Icecrown Citadel (on 10 or 25man) you will gain reputation leading to Exalted.