Hoffleit's interest in astronomy started with the 1919 Perseid meteor shower that she saw with her mother. She earned her B.A. in 1928, graduating cum laude in mathematics, before working for the Harvard College Observatory searching for variable stars. She went on to earn her Ph.D. in astronomy from Radcliffe College and was hired as an astronomer at Harvard in 1948. She remained there until moving to Yale in 1956, where she stayed until her 1975 retirement. At Yale she followed in the footsteps of Ida Barney, taking over her astrometric work, and of whom she later wrote "To know was a pleasure, inspiration, and privilege, both at work and socially." Hoffleit also served as director of the Maria Mitchell Observatory on Nantucket Island from 1957 to 1978, where she ran summer programs for more than 100 students, many of whom went on to successful careers in astronomy. In her final years at Yale, Hoffleit was tasked with teaching the most basic course on astronomy to undergraduates. Her passionate lectures in Davies Hall, usually with over 100 students, inspired and awed them. She thus engendered a lifelong interest in astronomy to young men and women, many of whom were simply satisfying a prerequisite to their undergraduate degrees. During the mid 1950s, Hoffleit consulted for the U.S. Army's Ballistic Research Laboratories in "Doppler reductions." She was the author of the Bright Star Catalogue, a compendium of information on the 9,110 brightest stars in the sky; she also co-authored The General Catalogue of Trigonometric Stellar Parallaxes, containing precise distance measurements to 8,112 stars, information critical to understanding the kinematics of the Milky Way galaxy and the evolution of the solar neighborhood. With Harlan J. Smith, Hoffleit discovered the optical variability of the first-discovered quasar3C 273. In 1988, Hoffleit was awarded the George Van Biesbroeck Prize by the American Astronomical Societyfor a lifetime of service to astronomy. She turned 100 on March 12, 2007, and died a month later from complications of cancer.