Here is the relevant section of KRS 237.115
(2) Except as provided in KRS 527.020, the legislative body of a state, city, county, or urban-county government may, by statute, administrative regulation, or ordinance, prohibit or limit the carrying of concealed deadly weapons by licensees in that portion of a building owned, leased, or controlled by that unit of government. That portion of a building in which the carrying of concealed deadly weapons is prohibited or limited shall be clearly identified by signs posted at the entrance to the restricted area. The statute or ordinance shall exempt any building used for public housing by private persons, highway rest areas, firing ranges, and private dwellings owned, leased, or controlled by that unit of government from any restriction on the carrying or possession of deadly weapons. The statute, administrative regulation, or ordinance shall not specify any criminal penalty for its violation but may specify that persons violating the statute or ordinance may be denied entrance to the building, ordered to leave the building, and if employees of the unit of government, be subject to employee disciplinary measures for violation of the provisions of the statute or ordinance. The provisions of this section shall not be deemed to be a violation of KRS 65.870 if the requirements of this section are followed. The provisions of this section shall not apply to any other unit of government.
(3) Unless otherwise specifically provided by the Kentucky Revised Statutes or applicable federal law, no criminal penalty shall attach to carrying a concealed firearm or other deadly weapon with a permit at any location at which an unconcealed firearm or other deadly weapon may be constitutionally carried.