Disclosed is an apparatus and method of communicating data for a digital mobile station, and more particularly a data transmitting and receiving apparatus and method capable of transmitting and receiving graphic and/or data using a Short Message Service (SMS). According to the present invention, an SMS message comprises an SMS header field and an SMS user data field, wherein the SMS user data field comprises a data transmission header field and a data field. The data transmission header field comprises a code field to indicate one of plural types of data associated with data contained in the data field of the SMS user data field, a data transmitting and receiving apparatus and method capable of transmitting and receiving graphic and/or audio data using a Short Message Service (SMS). Further, an SMS message comprises an SMS header field and an SMS user data field, wherein the SMS user data field comprises a data transmission header field and a data field. The data transmission header field comprises a code field to indicate one of plural types of data associated with data contained in the data field of the SMS user data field. The SMS message is communicated though SMS network.