McCain famously helped preserve the Affordable Care Act in a Senate vote past year, blocking Trump's legislative goals of dismantling the health care law.
"Finally, I have asked General John Kelly, Secretary James Mattis, and Ambassador John Bolton to represent my Administration at his services".
Tributes also came in from world leaders, including German Chancellor Angela Merkel, British Prime Minister Theresa May and French President Emmanuel Macron.
The senator's service to his country began more than six decades ago at the US Naval Academy at Annapolis and will end there in a cemetery overlooking Maryland's Severn River.
McCain, who died Saturday at the age of 81, was shot down flying a bombing mission in Vietnam in 1967, but is known more in that country for what he did in mending ties and normalizing relations with the United States in recent years.
Simon Mignolet delivers worrying transfer warning to Liverpool after Loris Karius loan
Klopp's men have started off the premier League season with three wins, nine points, seven goals scored and none conceded. Despite hastily removing the photo, Liverpool fans were quick to screenshot it and repost it on Twitter .
In his tweet, Trump mentioned only McCain's family and offered no praise for McCain, who he had battled since announcing his run for the presidency in 2016.
On Saturday, the nation learned about the passing of an American hero, Senator John McCain. Both former presidents have been particularly critical of Trump.
U.S. Rep. Phil Roe, R-1st, of Johnson City, spoke of working with McCain on veterans issues in a statement released by his office.
Trump finally issued a statement Monday afternoon, two days after McCain's death, tersely saying, "Despite our differences on policy and politics, I respect Sen". A member of Congress is supposed to get the flags lowered on the day of his or her death, as well as the day after.
The American flag at the White House was lowered to half-staff on Sunday. "McCain and his family, Gov. Ducey will not be making any announcements about an appointment until after the senator is laid to rest", Daniel Ruiz II said, as quoted by The New York Times.
McCain told "60 Minutes" back in September 2017, "I want, when I leave, that the ceremony is at the Naval Academy".