"Burning Up" is a song written and recorded by American singer Madonna included on her debut studio album Madonna (1983). Written by the singer and produced by Reggie Lucas, the song was released as a double-sided single with "Physical Attraction" on March 9, 1983. In early 1980, Madonna was beginning her music career as a member of band the Breakfast Club; together with band drummer Stephen Bray, they formed a new band, Emmy and the Emmys, but shortly after, she decided to pursue a solo career. She and Bray created demos for three songs: "Everybody", "Ain't No Big Deal", and "Burning Up".

Madonna is the eponymous debut studio album by American singer Madonna, released on July 27, 1983, by Sire Records. In the late 1970s, Madonna had established herself as a singer in downtown New York City; alongside her Michigan boyfriend Stephen Bray, she put together a demo tape with four dance tracks and began pitching it around local nightclubs. She managed to get Mark Kamins, the resident DJ at Danceteria, to play "Everybody" —one of the songs from the tape. The song was met with a positive reception from the crowd, and Kamins took Madonna to Sire Records, where label president Seymour Stein signed her on for three twelve-inch singles. Following its release on October 2, 1982, "Everybody" found success on the dance scene, and the label approved the recording of an album.