The present disclosure relates to technologies for sensor networks, machine to machine (M2M), machine type communication (MTC), and Internet of Things (IoT). The present disclosure may be used in intelligent services based on such technologies (smart homes, smart buildings, smart cities, smart cars or connected cars, health care, digital educations, retail businesses, securities, disaster network communication, and safety-related services). Provided is a method of controlling, by a relay device, screen sharing between a plurality of terminals, the method includes: receiving a screen image of a first terminal from the first terminal; and transmitting the received screen image to at least one second terminal.