Retired Air Force Col. Albert Pope Hinckley, 78, a stockbroker and former master of the Old Dominion Hounds, died Friday at his Orlean, Va., home after a heart attack.

Col. Hinckley was a native of Boston and a 1924 graduate of Harvard University. He worked as a managing partner in a New York City brokerage firm before entering military service in 1941.

He served as a ground officer with the Army Air Corps in Europe during World War II, retiring from active duty with the rank of lieutenant colonel. He retired from the Air Force reserves in the mid-1960s with the rank of colonel.

Col. Hinckley moved to the Warrenton area in the late 1940s. He was a limited partner with the brokerage form of Loeb Rhoades Hornblower & Co., and was master of the Old Dominion Hounds for more than 20 years before retiring in the late 1960s.

His clubs included The Brook in New York City, and the Fauquier in Warrenton.

His wife, the former Katherine Steedman, died in 1976.

Survivors include two sons, George F. S., of Lawrence, N.Y., and Albert P. Jr., of Orlean, Va.; a daughter, Margaret Wise, of Boston; a sister, Margaret Parker, of Prouts Neck, Maine, and five grandchildren.

The family suggests that expressison of symparthy be in the form of contributions to the Katherine S. Hinckley Fund at Phillips Academy in Exeter, N.H.