He will be the third person in the last 40 years to lie in the museum rotunda: Arizona State Senator Marilyn Jarrett was placed there in 2006 and Olympic gold medalist Jesse Owens was in 1980.
After a private ceremony at 10 a.m., the public will be allowed to pay their respects from 2 to 8 p.m.
Although McCain and Kennedy had been on opposite sides of the ideological spectrum, they had a close friendship.
She added that critics of McCain's politics should respect and honor his service to the country.
McCain, 81, the "Straight Talk" 2008 Republican presidential nominee and a Vietnam prisoner of war, died yesterday at 4:28 p.m.at his home in Arizona after a year-long battle with aggressive brain cancer.
His wife, Cindy McCain, said, "My heart is broken". John McCain, but it was never sent out, a person familiar with the matter confirmed to CNN.
McCain is to be buried at the US Naval Academy Cemetery on a peninsula overlooking the Severn River in Annapolis, Maryland. According to a statement, McCain's "family, friends, along with national, state, local and tribal officials, and business leaders from across the state of Arizona have been invited to attend the service".
"But Trump told aides he wanted to post a brief tweet instead, and the statement praising McCain's life was not released", Dawsey reported in the Sunday Washington Post article, which was based on "current and former White House aides, who requested anonymity".
Democratic leader Nancy Pelosi said the "nation is in tears" and noted McCain's "deep patriotism, outstanding bravery and undaunted spirit". He fought for his country in war and in peace with a dedication that was awe-inspiring. His record of service to our country is a testament to a great man.
Afghan President Ashraf Ghani called the US lawmaker a great friend of the South Asian country. Merely the rote political condolences for the family members. "His statesmanship, courage, conviction and understanding of global affairs will be missed". Edward "Ted" Kennedy also died on August 25 nine years ago, called McCain "an uncompromising patriot and a man of immeasurable courage".