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1.
Used as a response to point out an unintentional double-entendre in which the original speaker could be taken as intending to perform some act that would be more appropriate for a sex, kink, or other "special" party.
Person A: I'm going down to get a drink of lemonade, do you want some?
Person B: Dude, it's not that kind of party!
by Ironphoenix February 21, 2011
 
2.
When someone does something inappropriate or too extreme for that exact time or place.
person 1:"My fly is undone"...
person 2:"it's not that kind of party!"
by kipsix October 17, 2010