Attention Sullivan County Property Owners, Your 2014 County Property Taxes Are Due At The End Of This Month. Penalties Will Be Charged Beginning March 1st At A Rate Of 1.5 Percent Per Month. The Trustee’s Office Will Be Open At The Historic Sullivan County Courthouse In Blountville From 8 To 5 Monday Through Friday. Offices Are Also Located At The Bristol Justice Center And At Kingsport City Hall. Failure To Receive A Tax Notice Or A Dispute Over Your Tax Amount Are Not Excuses For Not Paying On Time.