David was born and raised in Arles. She started her musical career at age 18 in Paris when she became involved with musical theatre. In 1972, she was cast in the role of Mary Magdalene in the French production of Jesus Christ Superstar
. 1972 also saw her submit the song "Un peu romantique" to the French selection committee for the Eurovision Song Contest. It made the final shortlist of ten songs.In 1973, she was selected to represent Luxembourg as the Grand Duchy sought to repeat its previous year's triumph on home soil in the Eurovision Song Contest. She thus joined the long list of non-native performers to have represented the country in the contest, which also includes France Gall and Vicky Leandros. The 1973 contest crystallised into a three-way battle between songs that have since established themselves as Eurovision classics: David's "Tu te reconnaîtras", the Spanish entry "Eres tú", and the United Kingdom's "Power to All Our Friends", performed by Cliff Richard. Ultimately six points separated the third place from the David, securing the second successive triumph for Luxembourg.After the contest, she started touring the world. She lived in Turkey for a while, recorded two singles in Turkish and one album and received several awards in the country. She returned to Eurovision in the 1979 contest held in Jerusalem, this time representing her native France with the song "Je suis l'enfant soleil". Once again it was a tight three-way finish, with the Israeli entry "Hallelujah" edging to a home victory. She started to tour France in the 1980s.Between 1982 and 1983, she continued her musical career in Norway. In 1987, she retired from music but returned in 2003. In 2005, she sang at the festival for the 50th anniversary of the Eurovision Song Contest, staged in Copenhagen, where she performed the 1972 Eurovision winner "Après toi". She attended the live music show of Turkish Radio Television (TRT) before the 2009 Eurovision Final was aired live, with Johnny Logan (1980, 1987 ESC winner). According to ESCRadio.com, in 2011, Anne Marie released a new revamped version of her 1973 winning song, aptly named “Tu Te Reconnaîtras (Encore Une Fois)”.