Creates the Local Government Open Burn Permit Act. Provides that any county or municipality may adopt ordinances or resolutions establishing requirements for permits issued by it under the Act and may enter into intergovernmental agreements to implement the Act. Allows the Environmental Protection Agency to propose and the Pollution Control Board to adopt rules. Requires any person seeking to perform an open burn in a municipality or county to obtain a local government open burn permit from the municipality or county, respectively, where the burn is taking place in addition to any applicable open burn permit from the Illinois Environmental Protection Agency under the Environmental Protection Act and rules adopted under that Act. Requires every county and municipality to create an online publicly-accessible platform that contains certain information. Provides that municipalities and counties may charge up to $5 for each local government open burn permit, with the proceeds to be used for fire protection purposes. Provides for enforcement by a State's Attorney or the Attorney General, or a city attorney for ordinance violations authorized by the Act, and for a penalty of up to $100,000 for a person who conducts an open burn without a local government open burn permit, and a penalty of up to $500,000 for a person who conducts an open burn on a no burn day without a local government open burn permit. Limits home rule powers and functions. Defines terms. Effective immediately.