Disclosed herein are a virtual desktop server for supporting high-quality graphics processing and a method for processing high-quality graphics using the virtual desktop server. The virtual desktop server includes one or more virtual desktops for creating instructions for accelerated graphics processing by running a high-quality graphics application, one or more hardware-based graphics accelerators for creating screen data by executing the instructions for accelerated graphics processing and for storing the created screen data in a frame buffer, and a hypervisor for transmitting the screen data received from the virtual desktop to a client over a network, and the virtual desktop captures the screen data stored in the frame buffer, converts the captured screen data, and delivers the converted screen data to the hypervisor.