The body of Mr Bush, which has been lying in state at the US Capitol, will be moved to the National Cathedral later on Wednesday for the funeral.
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Son George W. Bush - the nation´s 43rd president - and other relatives stood with hands on their hearts as the flag-draped casket was carried to the aircraft. Bush's casket will depart for Joint Base Andrews and then return to Texas. Presidents are traditionally asked to eulogize presidents who have died - and in past state events like this, that has been the case - but the Bush family is unlike any other and has another president in the family who will fill that role. Trump was not invited to attend McCain's funeral, given bad blood between the two men, yet his presence was felt as contrasts were drawn with the current president's harsh brand of politics.
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George HW Bush was a decorated fighter pilot in World War Two, a head of the Central Intelligence Agency and vice-president to Ronald Reagan before being elected president in 1988.
George W Bush himself seemed to be holding back tears.
Trump has had strained relations (at best) with all of them.
He's expected to lie in repose at St. Martin's Episcopal Church in Houston until 7 a.m. EST Thursday.
Trump ordered the federal government closed Wednesday for a national day of mourning.
Jimmy Carter, younger than Bush by four months, is now the oldest of the four living former presidents. Alan Simpson, who became a close friend to Bush, and presidential historian Jon Meacham, the late president's biographer.
After the funeral in Washington DC, there will be a private memorial service in Houston, Texas, for Mr Bush's family and he will be buried at the presidential library in Texas next to his wife.
He had been the oldest living president and vice president in USA history. He had joined the Navy when he turned 18.
Shortly before leaving the service, he married 19-year-old Barbara Pierce, and forged the longest presidential marriage in United States history.
Bush's death has also led to a series of symbolic moments.
But despite Bush's record approval ratings after "Desert Storm", he disappointed Americans on the domestic front. He was elected to the first of two terms in Congress in 1967. The pair worked together to raise tens of millions of dollars for victims of a 2004 Indian Ocean tsunami and Hurricane Katrina, which swamped New Orleans and the Gulf Coast in 2005. Said her friend Sue Miller, also in line for the viewing: "I actually think I underestimated him when he was in office".
When Clinton took office in 1993, Bush wrote him a letter encouraging him as he began his term.