Catherine Hough, 67, who retired in 1976 as director of personnel for the American Red Cross at its national headquarters here, died of bronchial pneumonia Sunday at Circle Terrace Hospital in Alexandria.

Miss Hough was born in Columbus, Ohio, and graduated from Ohio State University. In the 1930s, she was a teacher in Columbua. She began her career with the Red Cross as a recreation worker during World War II. She was assigned to various military posts in this country and, when the war was over, was the senior Red Cross representative on the war bride ship Willard A. Holbrook.

She then returned to Columbus, where she resumed her career in education and also was a Red Cross volunteer and first aid instructor.

In 1949, Miss Hough joined the staff of the Red Cross national headquarters here. She held a number of administrative posts before 1971, when she was named personnel director.

In addition to her work, Miss Hough, who lived in Alexandria, was a trustee of the National Cathedral School for Girls, a member of the public relations committee of the Girl Scouts Council of the Washington area and a deacon of the Presbyterian Meeting House in Alexandria.

She leaves no immediate survivors.

Friends suggest that expressions of sympathy be in the form of contributions to the Presbyterian Meeting House, Alexandria, or to the Houghton-Lege Fund, American Red Cross, Washington, D.C.