Congressional Hope for Uniform Recognition of Christian Heritage (CHURCH) Act of 2013 - Requires the Architect of the Capitol (AOC) to enter into an agreement with a private entity for the design and fabrication of a historical plaque to be permanently displayed in National Statuary Hall recognizing the seven decades of Christian church services being held in the Capitol from 1800 to 1868.
Authorizes the AOC to use National Statuary Hall for a presentation ceremony for the plaque.
Requires the AOC upon receiving such plaque to display it permanently in a place of prominence in National Statuary Hall.
Requires that any obligations or expenditures by the AOC to carry out this Act be derived from pre-existing funds available to the AOC as of enactment of this Act.