Contact with the Pokémon may cause paralysis.
Static is an ability introduced in Generation 3. So far, 5 Pokémon have this ability.
Moves that make contact with the Pokémon have a 30% chance to paralyze the attacker.
Outside of battle
If a Pokémon with Static is leading the party, then there is a 50% chance the game will force an encounter with an Electric-type Pokémon, if one is possible.
Pokémon with Static