A method and apparatus for transmitting and receiving graphical data are provided. The apparatus for transmitting includes a graphical data generating unit that generates graphical data; an encoder that converts the graphical data into a JPEG 2000 code stream; and a transmitting unit that transmits video streams and the code stream. The apparatus for receiving includes a receiving unit that extracts an JPEG 2000 code stream; a decoder that decodes the code stream; and a display unit that displays a video stream included in the received stream and the decoded code stream. The method for transmitting the graphical data includes generating graphical data; converting the data into a JPEG 2000 code stream; and transmitting video streams and the JPEG 2000 code stream. The method for receiving the graphical data includes extracting a JPEG 2000 code stream; decoding the code stream; and displaying the decoded code stream and a video stream.