Lorna Sheffield Anderson, 66, a retired management analyst with the Department of the Navy and then with the Department of the Army, died of cancer Sunday at Sibley Memorial Hospital.

Mrs. Anderson was born in Kaysville, Utah. She graduated from the University of Utah in 1937 and moved to Washington in the same year. Shortly after arriving here, she went to work for the Navy Department and became a management analyst. Two years ago, she transferred to the Department of the Army, where she did similiar work. She retired earlier this year for reasons of health.

While at the Navy Department, Mrs. Anderson received a Distinguished Service Award for a records-disposal schedule that she established.

Mrs. Anderson was interested in Shakespeare and took graduate courses in English literature at American University. She also was a member of The Times Club, an organization of women with connections to Utah.

Survivors include her husband, Howard Jeremy Anderson, whom she married in 1937, of Washington; one daughter, Marsha A. Quinn of Azusa, Calif., and four brothers, Elbert J. Sheffield of Pasadena, Calif., Loftis J.Sheffield of Provo, Utah., Val J. Sheffield of Glendale, Calif., and Dr. Frederick J. Sheffield of Santa Ana, Calif.

The family suggests that expressions of sympathy be in the form of contributions to the American Cancer Society.