Nancy A. Goff, a retired government budget official and long-time Arlington resident who was active in the Daughters of the American Revolution, died of cancer Tuesday at Arlington Ospital.

Miss Goff began her government career in 1936 with the Agriculture Department. She rose from budget analyst to chief of the budget branch of Agriculture's Office of Management Services before transferring to the Justice Department in 1968.

She retired from Justice in the early 1970s as chief of tis budget branch. Her government citations include the Agriculture's Superior Service Award and the Outstanding Service Award from Justice.

As a member of the DAR, Miss Goff served as Virginia state chairman of the organization's Junior American Citizen Committee and was a docent at the DAR Museum. She also was a docent at the boyhood home of Robert E. Lee in Alexandria and at Arlington House, the Robert E. Lee memorial in Arlington National Cemetery.

Miss Goff was a member of the Arlington United Methodist Church.

She was a native of Kansas, where she taught school and attended the University of Kansas before moving to Washington in 1936. She had lived in Arlington since 1940.

Survivors include three sisters who live in Kansas and one sister who lives in Oklahoma.