Local Control of Education Act of 2005 - Prohibits the Secretary of Education from providing any funds to a state for any program under the Elementary and Secondary Education act of 1965 (ESEA), and prohibits such program from operating in that state, unless the state legislature has by law expressly and specifically authorized operation of the program and, in doing so, has waived the state's rights and authorities to act inconsistently with any requirement that might be imposed as a condition of receiving federal funds under the program. Requires such state authorization of the program's operation before any federal officer, employee, or authority may enforce any requirement of the program against a state authority, and before any state authority may be obliged to obey any such requirement.
Prohibits the Secretary from providing any funds under an ESEA program to a local governmental entity unless the state's chief law enforcement officer certifies that participation by the entity in the program is consistent with any applicable requirements under state law.