55306 55337 This list contains only 5-digit ZIP codes Use our zip code lookup by address feature to get the full 9-digit ZIP4 code. All ZIP Codes Map and Demographics of Burnsville MN 55306 55337 are the only ZIP Codes for Burnsville MN Enter an Address to find. Burnsville MN Stats and Demographics for the 55337 ZIP Code ZIP code 55337 is located in southern Minnesota and covers a slightly less than average. . Burnsville MN Stats and Demographics for the 55306 ZIP Code ZIP code 55306 is located in southern Minnesota and covers a slightly less than average land area..


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