Cold Spring, KY -- U.S. city in Kentucky Population (2000): 3806 Housing Units (2000): 1507 Land area (2000): 4.747336 sq. miles (12.295544 sq. km) Water area (2000): 0.000000 sq. miles (0.000000 sq. km) Total area (2000): 4.747336 sq. miles (12.295544 sq. km) FIPS code: 16372 Located within: Kentucky (KY), FIPS 21 Location: 39.013769 N, 84.433392 W ZIP Codes (1990): Note: some ZIP codes may be omitted esp. for suburbs. Headwords: Cold Spring, KY Cold Spring