You can either get it by capturing it in Pokemon Silver in the Safari Zone. Or by trading it on the Global Trade Station in Pokemon Diamond, Pearl, or Platinum.
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No, you cannot get Lugia on Pokemon Yellow.
You can't get Dark Lugia in Pokemon Silver, Gold, or Crystal. You can get Dark Lugia in Pokemon XD though. For Pokemon Silver, Gold, and Crystal it is just the regular Lugia.
If your asking what type he is then Lugia is Pshycic/Flying
dark Pokemon are
shadow lugia is stronger black hole can beat almost ery pokemon.