A surgical robot system capable of storing all data transmitted and received in the surgical robot system and a method of controlling the same includes a slave device performing surgery on a patient, a master device controlling a surgical operation of the slave device, an imaging device transmitting a medical image regarding the patient to the slave device and the master device, and a monitoring device comprising a storage module receiving all data transmitted and received among the slave device, the master device, and the imaging device, serializing the received data on a per transmission-time-information basis to generate serial packets, and storing the generated serial packets, and a reproduction module dividing the stored serial packets into a plurality of unit packets and transmitting the unit packets to a device for display.