George Bush Sr, as he was known, passed away on Friday evening, a spokesperson said on behalf of the family.
He was the 41st US president between 1989 and 1993, after serving two terms as vice-president to Ronald Reagan.
In April, he was admitted to a hospital intensive care unit with a blood infection, a week after the death of his wife of 73 years, Barbara.
"Jeb, Neil, Marvin, Doro, and I are saddened to announce that after 94 remarkable years, our dear Dad has died," George Bush Jr, who went on to serve as the 43rd US president, said in a statement.
"[He] was a man of the highest character and the best dad a son or daughter could ask for."