Charles Harrison Smith, 58, a resident of Falls Church who had worked for the C&P Telephone Company for the past 39 years, died Thursday at Fairfax Hospital. He had cancer.

Mr. Smith joined the telephone company as PBX installer and repairman. Over the years, he was promoted to commercial engineer manager, rate superviser in the rates and tariff department, and for about the last 12 years had been manager of C&P's regulatory public affairs department.

He was born in Milwaukee, lived in Ohio, and served with the Army Air Forces during World War II, before moving here. He was a fourth degree knight in the Edward Douglas White Council of the Knights of Columbus.

His wife, Mary Devine Smith, died in 1973. Mr. Smith's survivors include three sons, Charles Harrison II, of Fairfax, Craig Ellis, of Warren, Pa., and Daniel Jude, of Falls Church; four daughters, Karen Smith Matheson and Nancy Patricia Smith, both of Golden, Colo., and Pattie Jean Smith and Mary Lisa Smith, both of Falls Church; a brother, Ramon W., of Maitland, Fla.; a sister, Kathryn L. Thompson of Silver Spring, and eight grandchildren.

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