By Leveling Up:
* Scratch: Level 1
* Sand Attack: Level 5
* Bite: Level 9
* Quick Attack: Level 13
* Fury Cutter: Level 17
* Agility: Level 21
* Slash: Level 25
* Aerial Ace: Level 29
* Night Slash: Level 33
* Double-Edge: Level 37
* X-Scissor: Level 41
* Swift: Level 45
* Air Slash: Level 49
* Crunch: Level 53
* Outrage: Level 57
By TM/HM:
* Thunder Wave: TM02
* Hidden Power: TM03
* Sunny Day: TM04
* Toxic: TM06
* Protect: TM07
* Reflect: TM08
* Bulk Up: TM09
* Roost: TM16
* Shadow Claw: TM19
* Will-O-Wisp: TM22
* Facade: TM26
* Fly: TM29
* Aerial Ace: TM31
* Sandstorm: TM32
* Rock Slide: TM34
* Substitute: TM38
* Rest: TM39
* Attract: TM44
* Thief: TM45
* Confuse Ray: TM46
* Earth Power: TM47
* Rock Tomb: TM48
* Aerial Ace: TM50
* U-turn: TM52
* Rock Slide: TM54
* Payback: TM56
* Thunder: TM67
* Earthquake: TM68
* Fissure: TM74
* Outrage: TM78
* Aerial Ace: TM92
By Breeding:
* Ancient Power: From Pokémon like Omanyte, Omastar, and Kabutops
* U-turn: From Pokémon like Scizor and Heracross
* Rock Slide: From Pokémon like Rhyhorn, Rhydon, and Golem
* Double-Edge: From Pokémon like Scyther and Pinsir
* Crunch: From Pokémon like Arcanine and Manectric
* Swift: From Pokémon like Pidgey, Pidgeotto, and Pidgeot
* Quick Attack: From Pokémon like Weedle, Kakuna, and Beedrill
By Move Tutor:
* Extreme Speed: From the Move Tutor in the Old Seafloor.
Note: These moves can be learned depending on Gligar's evolution.