Provided is an apparatus and method for playing music, which can play music by simply sharing the music with an external device. An apparatus for playing music includes a first portable terminal and a second portable terminal. The first portable terminal transmits FM channel information of an FM transmitter, which is set to broadcast in-play music thereof, and an FM radio application execution command through near field communication (NFC). The second portable terminal receives the FM channel information and the FM radio application execution command from the first portable terminal through the NFC, then executes the FM radio application based on the FM channel information to receive and play the music broadcasted from the first portable terminal.