Anne Flournoy was born in Plainfield, New Jersey and grew up in Warren County. She is the daughter of Richard C. Flournoy and Iris Fox Flournoy. Her father flew B-52s in the Second World War and was shot down over Corfu. On his return to the United States, he flew as a pilot for TWA.
She studied at the Académie de la Grande Chaumière and the École nationale supérieure des Beaux-Arts in Paris, then returned to the USA and studied at Rutgers University in New Jersey, under Leon Golub and Geoffrey Hendricks, a member of Fluxus, before graduating with an MFA in 1978.
Flournoy worked as a receptionist at Cinelab from 1978–1980. From 1981–1982 she worked freelance as an assistant editor on documentaries and independent feature films. In 1983, Flournoy worked in the sound department on the movie The First Time.
She is married to Mark Mordecai Green and has two children, Frank Thurston Green (1989-) and Carla Flournoy Green (1992-).
Her first short film, Louise Smells a Rat, was made in 1982 by recutting snippets of other peoples' films and borrowing a song. The total budget, just over $1,000, went on lab fees. Louise Smells a Rat is "an elliptical spy story, set to a driving merengue by Johnny Ventura. It was made from twenty-four hours of discarded 16mm prints, distilled down to four and a half minutes." Louise Smells a Rat premiered at the New York Film Festival. The film can be seen on YouTube. In 1985 Louise Smells a Rat was shown at the 29th London Film Festival
The short film Nadja Yet was made in 1983. It is a story of obsessive teen love, adapted from Turgenev, and starred Jenny Wright. Nadja Yet can be seen on YouTube.
The feature film How To Be Louise is a "coming-of-age story about an insecure young woman who has a lousy job, great expectations and a confused idea of what it means to be a woman". It had its US premiere in 1990 in competition at the Sundance Film Festival, its European premiere in the Panorama at the Berlin International Film Festival, and was awarded a three star rating by the New York Post.
The webseries The Louise Log is a comedy dealing with "the confessions of a New York City wife and mother hell-bent on getting it right in spite of ... her over-active inner voice." The series was launched on the last day of 2007, in a desperate bid to break out of a cycle of delays. Christine Cook played Louise in the first two series—Margan Hallett took over in the third--"a woman dealing with her husband, kids, an elaborate ensemble of notable characters, and her ... humorously overactive inner voice". The series has completed 44 episodes to date, with more in the pipeline.
The Independent included Flournoy on their list of 10 Filmmakers To Watch in 2012.
Flournoy received a $5000 prize from the New York Foundation for the Arts in 1987.
She was awarded a Guggenheim Fellowship in 1991.1982: Louise Smells a Rat
1983: Nadja Yet
1990: How To Be Louise
2007: The Louise Log, episode 1
2008: The Louise Log, episodes 2-11
2009: The Louise Log, episodes 12-16
2010: The Louise Log, episodes 17-23
2011: The Louise Log, episodes 24-28
2012: The Louise Log, episodes 29-34
2014: The Louise Log, episodes 35-44
Flournoy is married to Mark M. Green (m. 1985-); two children, Frank Thurston Green (1989-) and Carla Flournoy Green (1992-).