A method and a terminal are provided for performing a Teletype/Telecommunications Device for the Deaf (TTY/TDD) service where the wireless terminal changes to a vibration mode when the TTY/TDD service is performed. If a called party number and a call key are input, a call connection request signal is transmitted and a first vibration is generated. A second vibration is generated if a call ready signal is received after the call connection request signal is transmitted. A third vibration is generated if an absence signal is received. Accordingly, the TTY/TDD service can be supported in the wireless terminal without the aid of other external devices, and a hearing-impaired user can immediately recognize a TTY/TDD text reception or transmission state by generating a different vibration when the call connection request signal, the call ready signal, or the absence signal is detected and generating a vibration, text messages, and/or an image when TTY/TDD text messages are received or transmitted during the TTY/TDD service.