Provided are a display apparatus, a control method thereof, a server, and a control method thereof. The display apparatus includes: a processor which processes a signal; a display which displays an image based on the processed signal; a command receiver which receives a voice command; a communicator which communicates with a first server; a storage; and a controller which receives, from the first server, a voice recognition command list comprising a voice recognition command and control command information corresponding to the voice recognition command, and stores the received voice recognition command list in the storage, the voice recognition command being among user's voice commands which have successfully been recognized a predetermined number of times or more, determines whether the voice command corresponds to the voice recognition command included in the voice recognition command list, and if so, controls the processor to operate based on the control command information, and if not, transmits the voice command to the first server, receives corresponding control command information from the first server, and controls the processor to operate based on the received control command information.