While not a whole state, there are municipalities with no property tax e.g. Thorne Bay in Alaska: > Thorne Bay is a Second-Class City within an unorganized bor

While not a whole state, there are municipalities with no property tax e.g. Thorne Bay in Alaska: > Thorne Bay is a Second-Class City within an unorganized borough on Prince of Wales Island. > Thorne Bay does NOT LEVY PROPERTY TAXES. > https://thornebay-ak.gov/land/ https://thornebay-ak.gov/land/ You get what you pay for as far as services are concerned though.