Anne Veski (born 27 February 1956) is an Estonian pop singer who has recorded music in both her her native language of Estonian as well as Russian and Polish.

Anne Veski was born in Rapla, Estonia. In Rapla, she graduated from musical school, 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 hit was the song "Roosiaia kuninganna" ("Queen of the Rose Garden") in 1980.

Having organized the ensemble Nemo, Veski began her solo career in 1984. In the same year, she participated in the Sopot International Song Festival in Sopot, 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.

Other popular songs in her repertoire include "Vozmi menya s soboy" ("Take Me With You"; 1983), "Milyy, goryacho lyubimyy" ("My Darling Beloved One"; 1994) and "Radovat'cya zhyzni" ("Enjoy Life"; 2001).

In 1987, Veski performed in the Estonian rockumentary Pingu keel (Tightened String) with other such notable Estonian singers and musicians as Urmas Alender, Ivo Linna and Tõnis Mägi.

Veski is married to her second husband, Benno Beltšikov, who is also her manager. Her daughter from her first marriage is a diplomat and worked at the Estonian Consulate in Moscow. Her first husband, Jaak Veski, died after their divorce.