A hand-held shower head capable of measuring and suggesting replacement of filtering core handle includes a lower shell 10, an upper shell 20, a battery mount 26, a signal circuit device 300 and a water flow measuring unit 50 containing an impeller shaft 500, a magnetic element 600 and a supporter 700. The water flow measuring unit and impeller shaft are disposed in a lower handle filter cartridge mounting section of the lower shell while the battery mount and a battery B contained therein are disposed in an upper handle filter cartridge mounting section of the upper shell, and both the lower and upper handle filter cartridge mounting sections abut the handle filter cartridge 60 to provide an even overall weight distribution.