In the 1970s, Acocella was a writer and editor at
Random House, where she co-authored a psychology textbook that went on to be reprinted in revised editions for two decades. and was the New York dance critic for the
Financial Times. For 33 years, her writing also appeared regularly in the
New York Review of Books. She began writing for
The New Yorker in 1992 and served as its dance critic from 1998 to 2019. In 1997, she accompanied
Mikhail Baryshnikov on his first trip back to his birthplace of Riga, Latvia since his defection and exile from the
Soviet Union in 1974. Acocella's books included
Creating Hysteria: Women and Multiple Personality Disorder (1999);
Mark Morris (1993), a biography of modern dancer and choreographer
Mark Morris; and
Twenty-Eight Artists and Two Saints (2007), which explores the virtues common among extraordinary artists.
André Levinson on Dance (1991), and
Mission to Siam: The Memoirs of Jessie MacKinnon Hartzell (2001), her grandmother. Acocella's
New Yorker article "Cather and the Academy", which appeared in the November 27, 1995, issue, received a Front Page Award from the Newswomen's Club of New York and was included in the "Best American Essays" anthology of 1996. ==Personal life and death==