Shaw's death Tuesday in Garrison, N.Y., was confirmed Wednesday in a statement by Hearst President and CEO Steven R. Swartz.
Shaw was born in San Francisco and was a city police officer for 15 years.
But he was perhaps better known for his relationship with William Randolph Hearst's granddaughter. She made headlines in the 1970s for her kidnapping by a left-wing group and her later imprisonment for bank robbery.
The couple were married in 1979, after Patty Hearst's release from a 22-month prison sentence.
Bernard Shaw worked at Hearst Corp. for three decades.
The San Francisco Chronicle reports he is survived by his wife, four children and one granddaughter.