When you defeat a Dragon in Skyrim you can absorb its soul and this unlocks your Dragon Shout abilities. The shouts themselves must be discovered though (either by questing or finding them on walls - see below) and there is 24 of them in total. As you kill more Dragons, your ability to learn new shouts increases. Every shout has three words and, except for a couple of exceptions noted below, you will discover only one word at a time, by either quest or on a wall. When using the Dragon Shouts you can choose to use only "one word" (or part of the Shout) which will make it weaker, but lead to a faster recharge time. The most powerful Dragon Shouts are when you use all three words (ie the entire "Shout").
Animal Allegiance: A shout for help from the beasts of the wild, who come to fight in your defense.
Location 1 - Animal: Go into the Helgen, and take the southwest Bonechill Passage. The Dragon Shout word is at the other end, protected by a dragon. Watch out for the Snowy Saber Cat inside Bonchill, as she is fast and very strong.
Location 2 - Allegiance: In Angarvunde in the Rift; it requires the "Medresi Dran And The Wandering Dead" quest.
Location 3 - Pack: Ysgramor's Tomb in Winterhold; it requires the "Glory Of The Dead" Companions quest.
Aura Whisper: Your voice is not a shout, but a whisper, revealing the life forces and all.
Location 1 - Life: In the dragon's lair in Northwind Summit, after you get a letter from a "friend" regarding a source of power in the mountains between Windhelm and Riften. It is around the corner from Shor's Stone; defeat the dragon to learn the Dragon Shout word.
Location 2 - Seek: In Valthume; it requires the "Evil In Waiting" Dungeon quest.
Location 3 - Hunt: In Volunruud; it requires "The Silence Has Been Broken" Dark Brotherhood quest or the "Silenced Tongues" Dungeon quest.
Become Ethereal: The Thu'um reaches out to the Void, changing your form to one that cannot be harmed or harm.
Location 1 - Fade: Successfully complete "The Way Of The Voice" main quest, and Arngeir will send you to Ustengrav Depths to retrieve The Horn Of Jurgen Windcaller. In the main cavern room, instead of going to the objective, go outside, and then go to the bottom where waterfall is with the green trees. Look at the base of the platform with word of power on it.
Location 2 - Spirit: Find the settlement with waterfalls and large stone structures between Markarth and Falkreath. Go to the top, and fight the Hagravens. Look for the Dragon Shout word in their little den, at the end of the Bard's Leap Summit Point (where you are standing over the waterfall).
Location 3 - Bind: In Ironbind Barrow.
Call Dragon: Odahviing! Hear my voice and come forth. I summon you in my time of need.
Location - Snow, Hunter, Wing: You get all three Dragon Shout words during "The Fallen" main quest.
Call Of Valor: The valiant of Sovngarde hear your voice, and journey beyond space and time to lend their aid.
Location - Hero, Champion, Legend: You get all three Dragon Shout words during the "Dragonslayer" main quest.
Clear Skies: Skyrim itself yields before Thu'um, as you clear away fog and inclement weather.
Location - Sky, Spring, Summer: You get all three Dragon Shout words from Arngeir after completing the "Throat Of The World" quest and getting to High Hrothgar.
Disarm: Shout defies steel, as you rip the weapon from an opponent's grasp.
Location 1 - Weapon: In the dragon's lair on Eldersblood Peak, at the top of the mountains, south of Morthal.
Location 2 - Hand: During the "Speaking With Silence" Thieves Guild quest, go to the Snow Veil Sanctum. In the second area, Mercer will mention something about it being a perfect ambush area. The Dragon Shout word is in that room.
Location 3 - Defeat: In the Silverdrift Lair.
Dismay: And the weak shall fear the Thu'um, and flee in terror.
Location 1 - Fear: In the dragon's lair at the Lost Tongue Overlook. After killing the dragon, you will get the Dragon Shout word from a bounty letter from Windhelm in Ivarstead's Inn.
Location 2 - Run: At the top of Dead Crone Rock, west of Markarth. You go here during the "Mehrunes Dagon" main quest. It requires the "Pieces Of The Past" Deadric quest.
Location 3 - Terror: In Shalidor's Maze in Labyrinthian.
Dragonrend: Your voice lashes out at a dragon's very soul, forcing the beast to land.
Location - Mortal, Infinite, Temporary: You learn all three Dragon Shout words during the "Alduin's Bane" quest.
Elemental Fury: The Thu'um imbues your arms with the speed of wind, allowing for faster weapon strikes.
Location 1 - Air: In the dragon's lair in Dragontooth Crater, between Solitude and Markarth in the northwest of Skyrim. It is a large mountain range.
Location 2 - Battle: In Shriekwind Bastion.
Location 3 - Grace: It requires "The Break Of Down" Daedric quest in Kilkreath Ruins.
Fire Breath: Inhale air, exhale flame, and behold the Thu'um as inferno.
Location 1 - Fire: You will learn it during Dustman's Cairn quest after completing the "Proving Honor" quest from The Companions because it opens a new area of the dungeon that contains the Dragon Shout word.
Location 2 - Inferno: Obtained automatically during "The Throat Of The World" main quest.
Location 3 - Sun: In Sunderstone Gorge.
Frost Breath: Your breath is winter, you Thu'um a blizzard.
Location 1 - Frost: In Brownstrewn Crest, south of Windhelm, in the middle of the swampland on top of the large hill. It is guarded by a dragon. Defeat the dragon to learn the Dragon Shout word.
Location 2 - Cold: In Skyborn Altar; watch out for the Dragon's Lair.
Location 3 - Freeze: In Folgunthur, southeast of Solitude, on the way to Morthal. It is guarded by a power Draugr. It also requires the "Forbidden Legend" side quest.
Ice Form: Your Thu'um freezes an opponent solid.
Location 1 - Ice: On Mount Anthor, on the middle mountain in the range to the northwest of Windhelm, and home to a dragon. You will also get this location from Arngeir at High Hrothgar when you talk about the Dragon Shout locations.
Location 2 - Flesh: It is given to you during the "Under Saarthal" College Of Winterhold quest for the circle of Mages. It is at the end after you have discovered the artifact you are looking for, in the Saarthal dungeon. When you are leaving the dungeon, look for it in the southwest of Winterhold. You can also get it during the "Forbidden Legend" side quest.
Location 3 - Statue: In Frostmere Crypt; it requires "The Pale Lady" Dungeon quest.
Kyne's Peace: The voice soothes wild beasts, who lose their desire to fight of flee.
Location 1 - Kyne: Go to Rannveig's Fast, and defeat the ice dragon protecting the entrance. Then, enter to learn the Dragon Shout word.
Location 2 - Peace: Go to Shroud Hearth Barrow Depths. In Ivarstead, there is a quest from the Inn Keeper, Wilheim ("Wilheim's Scream" dungeon quest). Enter the Barrow, and defeat the spirit to get the Sapphire Dragon Claw as a reward from Wilheim.
Location 3 - Trust: In Ragnavald Temple, north of Markarth, in the mountains are the ruins called Ragnavald with a temple inside. Go to the left and right into the canal and the crypts to get the keys to gain access to the Dragon Shout area. Defeat the Daedric, otar the Mod, to learn the Dragon Shout word.
Marked For Death: Speak, and let your voice hearld doom, as an opponent's armor and life force are weakened.
Location 1 - Kill: In the Automnwatch Tower, south of Ivarstad, further south of Rift Imperial Camp, are a couple of towers in the mountains. There is a dragon at the top of the farthest tower to the south protecting the Dragon Shout word.
Location 2 - Leech: Inside the Forsaken Cave in The Pale, southwest of Winterhold, at the base and south of mountains that surround it. It is north of the small lake on the map. It requires "The White Phial" side quest. It is guarded by Draugr, who is very difficult to defeat.
Location 3 - Suffer: In the Dark Brotherhood Sanctuary in Falkreath Hold.
Slow Time: Shout at time, command it to obey, as the world around you stands still.
Location 1 - Time: During "The Staff Of Magnus" College Of Winterhold quest, when fighting Draugr Deathlord in the last level of the Labyrithian (Dragon Priest's Lair), you can either fight Draugr or get an artifact that gives you access to this area.
Location 2 - Sand: In Korvanjund, northeast of Whiterun (snowy area on the map). The Dragon Shout word is in the crypt, in the area at the bottom. You will come here during the second Imperial/Stormclock quest. It requires "The Jagged Crown" Civil War quest.
Location 3 - Eternity: In Hog's End; it requires "The Feeble Fortune" Dark Brotherhood Radiant quest.
Storm Call: A shout to the sky, a cry to the clouds, that awakens the destructive force of SKyrim's lightning.
Location 1 - Storm: In High Gate Ruins (Dragon Priest's Lair), east of Solitude. Look for a huge structure and set of ruins. Go inside and down to the last chamber, which is Vokun's Throne Room. Defeat Volkun to find the Dragon Shout word in the room behind Vokun's Throne Room.
Location 2 - Wrath: You will learn it during "The World-Eater's Eyrie" main quest at the Skuldafn Temple level (Dragon Priest's Lair).
Location 3 - Lightening: In Forelhost (Dragon Priest's Lair).
Throw Voice: The Thu'um is heard, but its source uknown, fooling those into seeking it out.
Location - Voice, Fool, Far: In Shearpoint, west of Windhelm, at the top of the big mountain near it. It is guarded by a power Daedre called Krosis. Defeat him to get all three Dragon Shout words.
Unrelenting Force: Your voice is raw power, pushing aside anything -- or anyone -- who stands in your path.
Location 1 - Force: In Bleak Falls Barrow, west of Riverwood in the mountains; it requires the "Bleak Falls Barrow" main quest (obtained from Whiterun, north of Riverdale) or "The Golden Claw" side quest (obtained from Lucan in Riverwood).
Location 2 - Balance: It is given to you by Arngeir after completing "The Way Of The Voice" main quest in High Hrothgar.
Location 3 - Down: It is given to by Arngeir when you take the horn back to him in the "Horn Of Jurgen Windcaller" main quest.
Whirlwind Sprint: The Thu'um rushes forward, carrying you in its wake with the speed of a tempest.
Location 1 - Whirlwind: It is given to you by Borri in the "The Way Of The Voice" main quest when you reach High Hrothgar. This is after you get the "Balance" word for the "Unrelenting Force" Dragon Shout.
Location 2 - Fury: In Volskygge (Dragon Priest's Lair), high mountains in the corner of the Skyrim map, west of Solitude, is an ancient temple with a Dragon Shout guarded by a powerful demon. You need to go northwest from Volskygge on the map, up closest to the mountains to get the Dragon Shout word.
Location 3 - Tempest: In Dead Men's Respite; it requires the "Tending The Flames" Bards' College quest.
[more cheats for The Elder Scrolls V: Skyrim here]