A touch display device is provided. The touch display device displays images output from a plurality of source computing devices connected thereto on a single screen divided into regions and converts a touch input of a user with respect to the touch display device into a touch input of a source computing device of a corresponding divided region to transmit the converted touch input so as to allow the corresponding source computing device to recognize the converted touch input as a touch input with respect thereto. Further, the touch display device transmits an input and an output of a peripheral connected to the touch display device to a source computing device which is currently selected through the screen divided into regions, thereby allowing the peripheral to operate as if the peripheral is directly connected to the currently selected source computing device.