Later on in the day, McCain's casket will be flown to Washington D.C. from Phoenix.
McCain, a prisoner of war in Vietnam, longtime USA senator from Arizona and 2008 Republican presidential nominee, died of brain cancer on Saturday at age 81.
The White House lowered its USA flag to half-staff, raised it back up and on Monday lowered it again after the death of Senator John McCain, in an unusual and confusing break with protocol on the passing of a national leader.
US President Donald Trump was not expected to attend any of the services and had not mentioned McCain before US flags over the White House began Monday morning at full-staff. John McCain will first get a proper send-off in Arizona.
McCain was the son and grandson of admirals and followed them to the U.S. Naval Academy.
Following McCain's death, other members of the Trump administration, including Defense Secretary James Mattis, Secretary of State Mike Pompeo, and US Ambassador to the UN Nikki Haley, joined political leaders in the United States and around the world in heaping accolades on the senator - contrasting with the White House's response.
After Democratic Sen. Ted Kennedy of MA died in 2009, President Barack Obama ordered flags at the White House be flown at half-staff for five days.
White House aides did not make plans for a televised statement on McCain's passing, which would have been routine under similar circumstances in other recent presidencies.
The statement, drafted before the senator's death Saturday, would have commended the Arizona Republican for his military service and his decades in the Senate. A statement from Ducey's office said that "now is a time for remembering and honoring a consequential life". "There really is no room in the McCain family today to focus on anything but him".
Obama, who triumphed over McCain in 2008, said that despite their differences, McCain and he shared a "fidelity to something higher - the ideals for which generations of Americans and immigrants alike have fought, marched, and sacrificed". "He devoted his entire life to his country". "It sprang from his belief in democracy and freedom".
There will be a service for McCain in Arizona this week, a Republican close to the McCain family told CNN.
Chancellor Angela Merkel called McCain: "A tireless fighter for a strong trans-Atlantic alliance".
"He had a joy about politics and a love for his country that was unmatched", Sen.