Anne Veski (born Anne Vaarmann; 27 February 1956) is an Estonian pop singer who has recorded music in both her native language as well as Russian, and Polish.
Anne Veski was born as Anne Vaarmann in Rapla, Estonia. She graduated from the musical school in the town, after which she entered the Tallinn University of Technology. Upon finishing her education, she became a professional singer and started working as a soloist with the ensemble Mobile. Her first notable Estonian language hit song was "Roosiaia kuninganna" ("Queen of the Rose Garden") in 1980. Other prominent Estonian hits were "Troopikaöö" ("Tropical Night") in 1979, "Viimane Vaatus" ("Last Act"), in 1983 and "Jääd või ei?" ("Will You Stay or Not?") in 1986.
Having organized the ensemble Nemo, Veski began her solo career in 1984. In that same year, she participated in the Sopot International Song Festival in Poland. In the contest, she received First Awards in two categories: the Amber Nightingale for the best performance of a Polish song (with the entry "Polka Idolka") and the Intervision Song Contest for the song "Nadezhda gasnet". The Intervision First Prize was in fact a runner-up position, as the winner Krystyna Giżowska received the Grand Prix. In 1986, Veski appeared in the song festival "Song of the Year" on Soviet television for the first time.