Simple quest. Just run inside of each of the three forts and stand there until it says that you've captured it. The amount of time that this take varies. Two things to note are:
1) You can only capture them if they are neutral or are controlled by the other faction. If they are controlled by the other faction, they will first turn neutral after you standing there for a while. Keep standing there and you will soon capture it.
2) If you are on a PvE server, you will have to be flagged for PvP in order to capture any of the forts.
Good luck.
Quest
Hellfire Fortifications
A World of Warcraft quest in Hellfire Peninsula. Facts and objectives from the current retail game data.
The highest voted Wowhead comments for this page. They are community notes, not TheWoWDB comments.
You need to have completed the quest: http://www.wowhead.com/?quest=10124 before this quest will open up. I also read somewhere that you need to be friendly.
Indeed, this quest is quite simple and quick for the XP & items rewarded and all three buildings are on a road so there are no monsters in addition to possible players. You do NOT however actually need to PK (player kill) if you are opposed to PvP to complete the tasks. You can simply go elsewhere if other opposing players are present. In fact, doing so is the smart move to complete this task quicker for each side.
You can only capture a structure if it is currently neutral or opposing controlled. Otherwise the status bar does not progress to capture.
As you enter a structure right click your portrait and under player-vs-player toggle 'Enable'. You must leave this setting on to complete each capture; toggling PvP immediately for 'Disable' to start your 5 minute countdown to PvE seems to stop the capture.
While inside each perimeter and flagged for PvP a status bar appears on your screen; Alliance blue to the left and Horde red opposite. A vertical white line appears and then an arrow to indicate progress. When the line reaches your faction symbol the building's flags change and your log updates. You do not have to capture all three structures in sequence or on the same day for the base quest.
As mentioned in other comments this quest is also repeatable from the quest giver for coin and xp. Each capture rewards a further mark which can be used to buy PvP style items such as rings and socketable gems from the same NPC. Most items run about 10 marks.
Each PK inside the structures also rewards a mark. However, be prepared for this fact as ruthless 70-80s who lack the courage to play on a full time PvP server occasionally gank much lower players given that excuse.
Quest facts
The client quest POI data records no map location for this quest, so no map is shown.
Check whether you have already completed this quest
in-game: /run print(C_QuestLog.IsQuestFlaggedCompleted(13409))
Requirements
Read from the Blizzard quest API.
Description
The fel orcs of Hellfire Citadel must be scoured from our birthland! To attack them, we must first secure forward staging points near the Citadel. Our outrunners found three fortifications that will suit this purpose, but the Alliance has the same idea and even now sends forces to take them! We want you to stop the Alliance and capture these forts. Aid in the capture of each fort and then return to me. For the Horde!
Community notes from Wowhead · 41 comments
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Reputation: Thrallmar +150
The expedition sent through the Dark Portal by Thrall has built a stronghold in Hellfire Peninsula. Thrallmar serves as a base of operations for much of the Horde's activities in Outland.
Reputation group: The Burning Crusade.
Other quests in Hellfire Peninsula that reward Thrallmar reputation: Preparing the Salve (+250), The Assassin (+250), A Strange Weapon (+250), The Warchief's Mandate (+75), The Mag'har (+250), Burning Crusade: Through the Dark Portal (+250).
Item facts are the current retail client’s (ItemSparse); the specialisations for a pick-one item are the ones the Blizzard quest API lists; faction and currency text is the client’s own. Lowest listed price = the US commodity auction house now.
Where this quest fits
Other quests with this name
This one: Hunter, Warlock, Druid, Mage, Demon Hunter, Monk and more · Hellfire Peninsula · Level 10-30 · PvP.
Steps, storylines and map placement from the client’s QuestLine, prerequisite and QuestPOI data; neighbouring quest text is Blizzard’s own (quest API), shortened to its opening sentences.