A display device controlling method, a sink device thereof, and a mirroring system thereof are provided. The display device controlling method includes receiving metadata and media data for mirroring a screen image at a sink device from a source device, if a request is received, determining whether the request is an independent request for requesting to perform an operation of the sink device independent from an operation of the source device, or a dependent request for requesting to perform an operation of the sink device dependent to an operation of the source device, and, if the request is an independent request, carrying out the request at the sink device. When the request is input to the sink device, an operation desired by a user may be quickly performed.