In Skyrim, Stones of Barenziah are gems which prompt a quest to be added to your journal which states that you must appraise the gem before using it.
To appraise a gem, you can either go to Vex in the Riften Thieves Guild or Maul, who is also located in Riften. There are a total of 24 Stones of Barenziah, below are the locations where you can find them all.
Stones of Barenziah Locations:
- Thalmor Embassy: Located in a bedroom of Elenwen's Solar.
- Dainty Sload: Located on in a ship which is docked between Solitude Lighthouse and Solitude. Once you get to the ship, the Dainty Sload is on a table in the Captain's Quarters.
- Dead Crone Rock: Located on an altar in front of the word Wall at the top of the final tower.
- Whiterun, located in the Jarl's bedroom area inside Dragonsreach.
- Whiterun, Jorrvaskr, In Kodlak's bedroom.
- Whiterun, in the Catacombs of the Hall of the Dead. Once inside it is in a wall crypt near a skeleton.
- Sunderstone Gorge: Located on the altar in front of the word wall.
- Rannveig's Fast: Located on a table near the watery prison.
- College of Winterhold: Located on a shelf in the Arch-Mage's quarters.
- Yngvild: Located in a the throne room, look for a chamber behind the throne.
- Hob's Fall Cave, located near a necromancer's sleeping area.
- Solitude, Proudspire Manor: Located in the master bedroom. To get this stone, you must first purchase the property.)
- Solitude, Blue Palace: Jarl Elisif's quarters, located on a shelf.
- Fellglow Keep: Look for a counter in the workroom at the top of the front foyer.
- Windhelm, House of Clan Shattershield, Located on the left, inside the first bedroom upstrairs.
- Windhelm, Palace of Kings, look for this stone on a table in Wuunferth the Unliving's quarters. If you can't find it, look for the first door on the left side of the main hall, at the end of the upstrais hall.
- Stony Creek Cave, located in the cavern of the Bandit Wizard.
- Ansilvund: Located in the burial chambers, near Fjori's ghost.
- Dark Brotherhood Sanctuary, in Astrid's room, on the dresser.
- Pinewatch: To find this stone you must move through the Pinewatch until you get to the Pinewatch Bandit Sanctuary. Inside, look for empty draugh tombs, to the right there is a locked door which you must lockpick to get this stone. The stone itself is located on the top shelf of a bookcase.
- Riften, Black Briar Lodge, located in the master bedroom. (upstairs)
- Riften, Mistveil Keep, located in the Jarl's chambers.
- Markarth, Treasury House, inside the master bedroom, next to the bed.
- Markarth, Understone Keep, located in a locked room of the Dwemer Museum. Look for the stone on a table in the room.