Kenneth L. Kramer, 68, a former labor union organizer and staff member who retired in 1978 as director of the American Red Cross's Office of Community Relations, died Thursday at Fairfax Hospital after a heart attack. He lived in Annandale.

Mr. Kramer joined the staff at Red Cross headquarters here in 1956 as a labor consultant and later became director of community relations. Besides assignments to major hurricane disaster relief operations, he was the agency's crew chief for the final stages of the Bay of Pigs prisoner exchange with Cuba in 1963.

Born in Pennsylvania, he became active in trade unionism in his teens and later worked in the fields of worker safety and as a consultant to the building trade industry and related unions.

During the Depression, he was a labor union organizer. He worked for the Textile Workers, Shipyard Workers and International Ladies Garment Workers before joining the staff of the Red Cross.

Mr. Kramer was active in the original CIO Committee for Allied War Relief, now the AFL-CIO Community Services Program.

He attended Temple University in Pennsylvania and American University here.

After retiring, he served as chairman of the American Red Cross Retirees Association, vice president of the Virginia Council of Senior Citizens, vice president for the National Capital Area of Trade Unions Retirees Club and president of the Potomac River Jazz Club. He was a member of the Virginia delegation to the White House Council on Aging.

Survivors include his wife, Blossom Moyer Kramer of Annandale; a daughter, Katherine A., of Boulder, Colo.; three sons, William E., of Palo Alto, Calif., Gordon L., of Carmel, Calif., and Stephen C., of Saudi Arabia, and three grandsons.