McCain took to Twitter Monday to criticize Klobuchar, D-Minn., a 2020 presidential candidate, for invoking her father's "legacy and memory" during a campaign event.
"On behalf of the entire McCain family, [Amy Klobuchar], please be respectful to all of us and leave my father's legacy and memory out of presidential politics," McCain, a co-host on "The View," wrote.
At a Saturday event in Iowa, Klobuchar claimed Sen. McCain, R-Ariz., "kept reciting to me names of dictators during that speech because he knew more than any of us what we were facing as a nation."
"He understood it. He knew because he knew [Trump] more than any of us did," Klobuchar said in her speech, as The Hill reported.
Klobuchar called Trump's inauguration "dark" and claimed the "arch that we are on - this arch of justice - started the day after" the president formally took office, according to the St. Louis Post-Dispatch.
Trump and the Arizona senator had a tense relationship, with then-candidate Trump claiming at a 2015 event that the Vietnam War veteran "was a war hero because he was captured."
After Trump held a joint news conference in 2018 with Russian President Vladimir Putin, McCain responded in a statement claiming "the damage inflicted by President Trump’s naiveté, egotism, false equivalence, and sympathy for autocrats is difficult to calculate."
Tim Hogan, a spokesman for Amy for America responded to the controversy, saying in a statement that Klobuchar had a "long-term friendship" with McCain and has defended him against Trump's criticisms.
"She has deep respect for his family. While she was simply sharing a memory, she continues to believe that the best stories about Senator McCain are not about the views he had about President Trump: they are about McCain’s own valor and heroism," Hogan said.
Fox News' James Rogers contributed to this report.