Retired Col. Alexander Graham, 68, who began life on an Army post, commanded an artillery battalion in World War II, and married a general's daughter, died Sunday in Philadelphia, where he had gone to watch the Army-Navy football game. He had suffered from a heart condition for some years.

Col. Graham, whose father was a colonel before him, was born in an Army post in Iowa. He graduated from the Military Academy at West Point in 1932, and was commissioned in the field artillery. His first assignment was at Ft. Myer, and there he met and married Frances Lyon Devers, the daughter of Gen. Jacob L. Devers.

In World War II, Col. Graham commanded a field artillery battalion in the 4th Armored Division. He participated in the campaigns across France and into Germany and Czechoslovakia.

His decorations included the Silver Star, the Legion of Merit, the Purple Heart, the French Croix de Guerre, the Belgian Croix de Guerre, and the Order of Leopold from Luxembourg.

Col. Graham's postwar assignments included duty in Japan and in this country, including the Army War College at Carlisle Barracks, Pa. He replaced on the tempopary disability retired list in 1962 because of a heart condition, and was retired in 1967.

That year Col. Graham earned a master's degree in business administration from American University. But he devoted most of his time since leaving the Army to various veterans organizations, including the 4th Armored Division Association, of which he was past president, the Military Order of World Wars, the Military Order of the Caraboa and the Veterans of Foreign Wars.

Survivors include his wife, of the home in Washington.