Anne Veesaar (1985-1989 Pabut, 1992-2007 Elling; born on July 4, 1957 in Valga) is an Estonian actress.

In 1980 she graduated from Tallinn State Conservatory's performing arts department. From 1980 until 1989, she worked at the Rakvere Theatre, and from 1989 until 2004, at the Vanalinnastuudio in Tallinn. From 2002 until 2004, she was the head of Vanalinnastuudio. Later, she has been a freelance actress. Besides stage roles she has also participated on films and television series.