Desai was born Anita Mazumdar, to a German mother and Bengali father. She grew up speaking a mix of German, Hindi, Bengali, Urdu and later English. She began writing stories at an early age. She studied English Literature at the University of Delhi, and soon after married Ashvin Desai, a philosopher and software company director, with whom she has four children, including writer Kiran Desai. At that time, Desai was beginning to feel pessimistic about her writing career, as few Indian writers had been published in either India or the UK. To her relief after much effort, her novel Cry the Peacock was published in 1963 in the UK. She has since written 17 books novels, including
In Custody, which was adapted for screenplay in 1993, and several short story collections. She has traveled throughout the United States teaching writing workshops at American universities. While many of her works have an Indian context, she also writes narratives which take place in the U.S. and internationally.