Greensburg, KY -- U.S. city in Kentucky Population (2000): 2396 Housing Units (2000): 1190 Land area (2000): 1.908612 sq. miles (4.943283 sq. km) Water area (2000): 0.000000 sq. miles (0.000000 sq. km) Total area (2000): 1.908612 sq. miles (4.943283 sq. km) FIPS code: 32968 Located within: Kentucky (KY), FIPS 21 Location: 37.259665 N, 85.497863 W ZIP Codes (1990): 42743 Note: some ZIP codes may be omitted esp. for suburbs. Headwords: Greensburg, KY Greensburg