Throughout her more than 50 years of artistic career, she worked in film, theater and television. She came to fame in the 1960s, when she played the naive and clumsy genius "Jeannie" in the series I Dream of Jeannie (1965-1970). For her work in that comedy, she was nominated for Emmy and Golden Globe awards. Subsequent to the famous television series, her television appearances included starring in films and also being a fashion show commentator.
Eden starred in the series I Dream of Jeannie as "Jeannie", a genie who lived inside a bottle until she was freed by astronaut "Anthony Nelson", played by handsome Larry Hagman. Although the producers were looking for a brunette for the lead role, to differentiate from the series Bewitched which starred a blonde actress, creator Sidney Sheldon was so taken with Barbara's personality that he hired her even though she was blonde.
After I Dream of Jeannie ended, Barbara continued to appear in special programs such as Telly...Who Loves Ya Baby? with Telly Savalas and The Best Of Everything, alongside Hal Linden and Dorothy Loudon. In 1978, she starred in the movie Harper Valley PTA, based on the popular country music song of the same title. In 1990 she starred in the series Dallas, where she played the millionaire "Lee Ann De La Vega" and reunited with her former co-star, Larry Hagman.