After the funeral, a hearse will carry the 41st president's casket from St. Martin's to a Union Pacific facility north of Houston near the global airport named for him.
Bush's casket traveled in a special train auto about an hour northwest from Houston to College Station and was then carried to the gravesite behind his library by a military honor guard, in a ceremony overseen by his son and former President George W. Bush.
Following the funeral service, Bush's remains were taken by train some 80 miles (130 km) northwest to College Station for the burial alongside his wife, Barbara, who died in April, and their daughter Robin, who died of leukemia at age 3 in 1953.
There were emotional displays along the route in towns like Spring, Magnolia, Navasota and College Station.
McEntire sang a lovely rendition of "The Lord's Prayer" that brought Bush's oldest son, former U.S. President George W. Bush, to tears.
The late George H.W. Bush may have been an admired US presidentand a jovial, good-hearted family man, but he was also something else - a huge country music fan. The train left the coins flattened and slightly discolored. We will always remember this great statesman and beloved American patriot.
He said: "Hopefully, my children will remember the significance and the meaning of today".
Grandson George P. Bush, the only member of the political dynasty still holding elected office, as Texas land commissioner, used a eulogy to praise the man the younger generations called "gampy".
George P. Bush is the son of former Florida Gov. Jeb Bush.
In this February 11, 1991, file photo, President George H.W. Bush talks to reporters in the Rose Garden of the White House after meeting with top military advisers to discuss the Persian Gulf War.
Bush passed away on Friday, November 30, 2018, at 94 years of age.
McCain walked to the casket with tears in her eyes. Right before his father's funeral began on Wednesday, the 43rd president showed that it was even stronger - and all because of a piece of candy. President Donald Trump and first lady Melania Trump paid their respects the same evening.
The cathedral service was a tribute to the patriarch of one of the nation's most powerful political families - they occupied the White House for a dozen years - and to a faded political era that prized military service and public responsibility.
Mr Baker also offered Mr Bush as a contrast to today's divisive politics, saying that his "wish for a kinder, gentler nation was not a cynical political slogan". Those who travel "the high road of humility in Washington, D.C.", he added pointedly, "are not bothered by heavy traffic".
Trump arrived and shook hands with the Obamas, but his body language turned cold as he failed to acknowledge Hillary Clinton, his defeated Democratic rival in 2016, or her president husband Bill. Apart from courteous nods and some handshakes, there was little interaction between Trump and the others.
Those reading passages included Barbara Pierce Bush, a daughter of George W. Bush, and Noelle Lucila Bush, daughter of Jeb Bush.