Shaw was the company's vice president of corporate security. He died in Garrison, N.Y., after a long illness, the Hearst newspapers reported.
"For three decades, Bernie served Hearst Corporation with loyalty and distinction. All of us are grateful for his long tenure and friendship. He will be greatly missed," said Steven Swartz, president and chief executive officer of Hearst Corporation.
Shaw was San Francisco police officer for 15 years, who began working for the Hearst Corporation in 1983, four years after marrying Patricia Hearst, the heiress who was kidnapped in 1974 in Berkeley, Calif., at age 19 by a group calling themselves the Symbionese Liberation Army.
In one of the most covered news stories of the decade, Hearst was later convicted of helping the group rob a bank. Her sentence was commuted by President Jimmy Carter and she was later pardoned by President Bill Clinton, the Hudson Valley Reporter noted.
Her story is frequently cited as a classic case of the Stockholm Syndrome in which victims identify with their captors.
Shaw is survived by his wife, who is the granddaughter of William Randolph Hearst, He is also survived by four children and a granddaughter.