Washington (CNN) Sen. Lindsey Graham, one of Donald Trump's most outspoken Republican critics, says he will not vote for either Trump or Hillary Clinton for president this year.

Saying he thinks the Republican Party has been "conned," Graham told CNN Friday that he and Trump don't share the same beliefs.

"I don't think he's a reliable Republican conservative," Graham said, just hours before former 2016 rival Jeb Bush also declared he would not vote for Trump . "I don't believe that Donald Trump has the temperament and judgment to be commander in chief. I think Donald Trump is going to places where very few people have gone and I'm not going with him."

Graham's comments sparked a scathing response from Trump, who called him a "poor representative and an embarrassment to the great people of South Carolina."

Graham said Trump lost his confidence when the billionaire businessman criticized Arizona Sen. John McCain for being a captured during the Vietnam War and accused former President George W. Bush of lying to Americans about the Iraq War. Graham also cited Trump's compliments of Russian President Vladimir Putin, spending thousands of dollars to find out if President Barack Obama was born in Kenya and linking Sen. Ted Cruz's dad to President John F. Kennedy's assassination as some of the front-runner's other wild ideas.

"I'm glad we're having the convention in Cleveland, not Area 51," Graham said, citing the Nevada military base popular among UFO enthusiasts.

As for the party's July convention, South Carolina's senior senator also says he will join a growing list of veteran Republicans, including both Presidents Bush, Mitt Romney, John McCain and others, now declining to attend.

Trump responded later Friday afternoon by issuing a statement excoriating Graham for his unsuccessful presidential campaign and representation of South Carolina.

"I fully understand why Lindsey Graham cannot support me. If I got beaten as badly as I beat him, and all the other candidates he endorsed, I would not be able to give my support either," Trump said. "Every time I see Lindsey Graham spew hate during interviews I ask why the media never questions how I single handily destroyed his hapless run for President. As a candidate who did not receive 1% in his own state -- compared to my victory at nearly 40% with many others in the race -- he has zero credibility. He was a poor representative and an embarrassment to the great people of South Carolina. Judging by the incompetent way he ran his campaign, it is easy to see why his military strategies have failed so badly -- we can't even beat ISIS!"

Trump continued to hit Graham while speaking at a rally in Omaha, Nebraska, on Friday.

"He fails with his campaign horribly, then he endorses somebody else, then he endorses (Jeb) Bush, he endorses everybody," Trump said. "He's like bad luck, as soon as he endorses the people, they drop out."

An early critic of Trump

During his failed 2016 campaign, Graham was early to attack Trump in the starkest of terms -- telling voters they should tell Trump he should "go to hell."

Trump responded in kind, even releasing Graham's personal cell phone number in public.

On Friday, Graham joined the attack on Trump for tweeting a photo of himself eating a taco bowl and saying "I love Hispanics" on Cinco de Mayo.

"Eating a taco is probably not going to fix the problems we have with Hispanics," Graham said. "I think embracing Donald Trump is embracing demographic death."

Graham said he was a "little bit" surprised when told that former Vice President Dick Cheney was supporting Trump.

"Dick Cheney's a great man. We see the world a lot alike when it comes to foreign policy. I can understand when people want to support the nominee of the Republican Party. I would like to be able to do that, but I just can't," Graham said. "Maybe I'm the outlier here. Probably am."

Graham's refusal to support Trump is another stark illustration of the schism within the GOP -- especially in the field of candidates who ran for president.

Former Texas Gov. Rick Perry was Trump's first opponent to criticize his conservative credentials. But now, Perry tells CNN, he supports Trump.

Photos: Lindsey Graham's political career Photos: Lindsey Graham's political career Click through to see highlights from U.S. Sen. Lindsey Graham's political career: Hide Caption 1 of 14 Photos: Lindsey Graham's political career Graham; Sir Elton John, center; and filmmaker and John's husband, David Furnish, pose after testimony at a U.S. Senate hearing on the global fight against AIDS on May 6, 2015. Graham and Democratic Sen. Patrick J. Leahy of Vermont hosted John as part of their bipartisan effort to combat HIV infection. Hide Caption 2 of 14 Photos: Lindsey Graham's political career Graham rushes to the Senate chamber to vote on an attempt to override U.S. President Barack Obama's veto of the Keystone XL Pipeline legislation March 4, 2015. Graham was elected to the U.S. Senate in 2002 and was re-elected in 2008 and 2014. Hide Caption 3 of 14 Photos: Lindsey Graham's political career Graham listens to testimony during a Senate Armed Services Committee meeting on national security strategy on January 27, 2015. According to his website , Graham continues to serve his country in the U.S. Air Force Reserves as a senior individual mobilization augmentee to the judge advocate general. Hide Caption 4 of 14 Photos: Lindsey Graham's political career Graham arrives for a closed briefing of the Armed Services Committee on July 30, 2014. Before serving in the Senate, Graham was elected to the U.S. House of Representatives in 1994. Hide Caption 5 of 14 Photos: Lindsey Graham's political career Graham talks to U.S. Sen. Marco Rubio, R-Florida, before a news conference on Capitol Hill on July 24, 2014. Hide Caption 6 of 14 Photos: Lindsey Graham's political career Graham and U.S. Sen. Ted Cruz, R-Texas, right, listen as President Barack Obama delivers the State of the Union address on January 28, 2014. Graham was in the U.S. Air Force and logged six-and-a-half years of service on active duty as an Air Force lawyer. Hide Caption 7 of 14 Photos: Lindsey Graham's political career Graham holds a news conference on Benghazi, Libya, at the U.S. Capitol on October 30, 2013. From left, he is flanked by Sen. John McCain, R-Arizona; Rep. Jason Chaffetz, R-Utah; and Rep. Jim Jordan, R-Ohio. Graham has been an outspoken critic of how the Obama administration has handled the September 11, 2012, attack on the U.S. diplomatic, in which four U.S. citizens died. Hide Caption 8 of 14 Photos: Lindsey Graham's political career Israeli Prime Minister Benjamin Netanyahu, center, meets with U.S. Sen. John McCain, R-Arizona, and Graham on June 30, 2013, in Jerusalem. Hide Caption 9 of 14 Photos: Lindsey Graham's political career McCain, left, and Graham speak during a news conference about Benghazi on February 14, 2013, on Capitol Hill. Hide Caption 10 of 14 Photos: Lindsey Graham's political career Graham talks with reporters before heading into the Senate Republican Caucus policy luncheon at the U.S. Capitol May 8, 2012. Hide Caption 11 of 14 Photos: Lindsey Graham's political career Graham speaks to reporters after a news conference about his Social Security reform plan at the U.S. Capitol on April 13, 2011. Hide Caption 12 of 14 Photos: Lindsey Graham's political career Graham, left, and McCain call on participants during a health care town hall meeting on September 14, 2009 at the Citadel in Charleston, South Carolina. According to his website, Graham is a native South Carolinian and grew up in a blue collar family in the small town of Central, where his parents ran a restaurant and pool hall. Hide Caption 13 of 14 Photos: Lindsey Graham's political career U.S. President George W. Bush, left, stands with Graham on the steps of Air Force One at the airport in Greenville, South Carolina, in March 2002. Hide Caption 14 of 14

"He is not a perfect man. But what I do believe is that he loves this country and he will surround himself with capable, experienced people and he will listen to them," Perry told CNN about Trump Thursday.

Though he is a conservative Republican, Graham worked with Clinton on several issues in the Senate. Still he says he can't vote for Clinton for president, arguing that she represents a third term of Obama.

Graham endorsed Jeb Bush after ending his own White House bid, and then even backed Cruz, a colleague he had openly said he disliked.

Wishing House Speaker Paul Ryan luck in trying to find a common conservative agenda with Trump, Graham said he will turn his attention to electing Republicans to Congress.

"If there was ever a time for the country to have conservative leadership in the House and Senate, it will be in 2017 because no matter who wins the presidency -- Clinton or Trump -- we will need some rational people up there putting brakes on some of these very bad ideas."