Former Presidents Barack Obama and George W. Bush - who both competed against McCain in battles for the White House - were among those offering tributes.
"I never traveled with a colleague who was better to our enlisted or harder on our generals", said Pence, whose son is a Marine.
Many speakers at the ceremony suggested that even in death, McCain could serve as a role model for a politically fractured nation. Also attending were former Secretary of State John Kerry, a Senate colleague of McCain's and also a Vietnam War veteran and former Secretary of Defense Leon Panetta.
Trump had already angered Palestinians by his December recognition of the disputed city of Jerusalem as Israel's capital.
Trump said in a Twitter post on Saturday that Sessions "doesn't understand what is happening underneath his command position".
Sounding a more optimistic note, Freeland had said late in the week that "with good will and flexibility on all sides, I know we can get there".
Her comments follow intense negotiations between the two sides ahead of a Friday deadline set by the Trump administration as well as pressure to strike a deal after the US and Mexico reached a preliminary accord on Monday.
Alonso hopes for Red Bull apology
Ricciardo started in F1 with Toro Rosso - Red Bull's feeder team - in 2012 and joined Red Bull in 2014. There were a lot of factors and variables I had to weigh up in my mind".
"What stands out about John McCain is what he stood for", Ryan said.
At 9:19 a.m., as Jared Kushner and Ivanka Trump arrived at the National Cathedral, where they were greeted by longtime McCain pal Sen.
McCain chose a Russian dissident as a pallbearer, though Trump has professed repeatedly his affinity and admiration for Russian President, Vladimir Putin - praise that came amid special counsel Robert Mueller's probe into Russian meddling in the 2016 presidential election.
White House counsel Don McGahn will be leaving the White House in the fall, adding to the record turnover in the 19-month-old Trump administration.
Thousands are expected at the Evansville rally.
The McCain farewell began Wednesday and Thursday in Arizona, where he and Cindy McCain raised their family.
The president again labeled the Democrat "Sleeping Joe".
McCain's daughter Sidney and his son Jimmy also took part in the service Saturday, along with his longtime Senate allies Lindsey Graham, Joe Lieberman, and Kelly Ayotte.