Alfred K. Frisbie, 67, a retired Washington stockbroker and a former member of the Arlington County Board, died of cancer Saturday at the Veterans Administration Hospital in Gainesville, Fla.

He retired from E. F. Hutton and Co. in 1971 and moved to Ormond Broch, Fla. Before that, he had been with Orvis Brothers and Co., former members of the New York Stock Exchange, from 1941 to 1970. He was elected a partner in 1963.

A former member of the Arlington Democratic Executive Committee, Mr. Fisbie was appointed to the Arlington County Board in 1947. A year later he was elected to the board as an incumbent. He did not run for relection in 1952.

He was born in New York City and worked there for the brokerage firm of Fenner and Beane for 14 1/2 years before being tranferred to their Washington office in 1937.

During World War II, Mr. Frisbie served with the Army in the Pacific, participating in the Leyte and Okinawa campaigns.

While living in Arlington, he was a trustee of the National Orthopaedic Hospital and of Mount Vernon Baptist Church. He belonged to Columbia Lodge 285 of the Masons, the Saints and Sinners Club of Washington and the Fairfax County Club.

He is survived by his wife, Minnie D of the home in Ormond Beach; a son, Norman Richard, of Arlington; a daughter, Sue Schmidt, of Midland, Tex., and seven grandchildren.

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