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1.
A moderator of an online forum or community who strictly enforces rules, bans or deletes users' posts for vague or no reason. They often apply their forum powers to users who disagree with them.

Original usage traced back to the Earth: 2025 forums.
Patience is a Nazi mod on the Earth: 2025 forums. She bans people for no reason.
by Nate Heller December 27, 2005
 
2.
a moderator who over enforces rules
Newgrounds is full of nazi mods
by Gamecue Glock August 09, 2005