A functional roof construction arrangement for a roof frame of a building, includes a plurality of functional roof modules being assembled together. Each of the functional roof modules includes a module housing and a roof functional unit which includes three different roof functional panel units selectively supported by the module housing at different levels thereof to provide different functions for the building. The roof functional panel units are selectively configured for selectively providing multiple functions of solar energy collection, thermal insulation, sound insulation, wireless network system, and the like.