Michael Ciaglo/Pool/Getty Images
Now playing
07:48
Cruz wanted Rubio as V.P. to defeat Trump
MELBOURNE, FL - MARCH 14:  Republican presidential candidate Sen. Marco Rubio (R-FL) greets supporters while campaigning at That Little Restaurant March 14, 2016 in Melbourne, Florida. Florida holds its presidential primary tomorrow.  (Photo by Win McNamee/Getty Images)
Win McNamee/Getty Images
MELBOURNE, FL - MARCH 14: Republican presidential candidate Sen. Marco Rubio (R-FL) greets supporters while campaigning at That Little Restaurant March 14, 2016 in Melbourne, Florida. Florida holds its presidential primary tomorrow. (Photo by Win McNamee/Getty Images)
Now playing
01:27
CNN projection: Rubio wins Florida primary
Sen. Marco Rubio (R-FL) (left) confers with Sen. John McCain (R-AZ) (right) as U.S. Ambassador to Syria Robert Ford testifies before the Senate Foreign Relations Committee October 31, 2013 in Washington, D.C.
Win McNamee/Getty Images
Sen. Marco Rubio (R-FL) (left) confers with Sen. John McCain (R-AZ) (right) as U.S. Ambassador to Syria Robert Ford testifies before the Senate Foreign Relations Committee October 31, 2013 in Washington, D.C.
Now playing
03:04
Rubio, McCain test Trump's down ballot impact
WASHINGTON, DC - JANUARY 28:  U.S. Sen. Marco Rubio (R-FL) listens during a news conference on a comprehensive immigration reform framework January 28, 2013 on Capitol Hill in Washington, DC. A group of bipartisan senate members have reached to a deal of outlines to reform the nation immigration laws that will provide a pathway for the 11 million illegal immigrants in the country to citizenship.  (Photo by Alex Wong/Getty Images)
Getty Images
WASHINGTON, DC - JANUARY 28: U.S. Sen. Marco Rubio (R-FL) listens during a news conference on a comprehensive immigration reform framework January 28, 2013 on Capitol Hill in Washington, DC. A group of bipartisan senate members have reached to a deal of outlines to reform the nation immigration laws that will provide a pathway for the 11 million illegal immigrants in the country to citizenship. (Photo by Alex Wong/Getty Images)
Now playing
05:52
Rubio: Why I'm against Collins gun control amendment
Sen. John McCain (R-AZ), Sen. Charles Schumer (D-NY), Sen. Marco Rubio (R-FL), Senate Majority Whip Sen. Richard Durbin (D-IL), and Sen. Robert Menendez (D-NJ) share a moment during a news conference on a comprehensive immigration reform framework Monday.
Alex Wong/Getty Images
Sen. John McCain (R-AZ), Sen. Charles Schumer (D-NY), Sen. Marco Rubio (R-FL), Senate Majority Whip Sen. Richard Durbin (D-IL), and Sen. Robert Menendez (D-NJ) share a moment during a news conference on a comprehensive immigration reform framework Monday.
Now playing
01:08
Rubio says it's a 'safe assumption' he will run again
Marco Rubio on The Lead
CNN
Marco Rubio on The Lead
Now playing
01:16
Rubio: Plagiarism controversy doesn't matter
CNN
Now playing
01:25
Marco Rubio: Istanbul airport attack 'ISIS directed'
Senate TV
Now playing
03:28
Rubio discusses decision to leave Senate
CNN
Now playing
00:49
Marco Rubio: Not God's plan that I be president in 2016
CNN
Now playing
00:59
Rubio says Trump picking him for V.P. would backfire
OKATIE, SC - FEBRUARY 11:  Republican presidential candidate Sen. Marco Rubio (R-FL) speaks a campaign town hall meeting at the Sun City Hilton Head's Magnolia Hall February 11, 2016 in Okatie, South Carolina. Earlier in the week Rubio placed fifth in the New Hampshire primary, behind fellow GOP candidates Jeb Bush, John Kasich, Sen. Ted Cruz (R-TX) and Donald Trump, who won with 35 percent of the vote.  (Photo by Chip Somodevilla/Getty Images)
Chip Somodevilla/Getty Images/File
OKATIE, SC - FEBRUARY 11: Republican presidential candidate Sen. Marco Rubio (R-FL) speaks a campaign town hall meeting at the Sun City Hilton Head's Magnolia Hall February 11, 2016 in Okatie, South Carolina. Earlier in the week Rubio placed fifth in the New Hampshire primary, behind fellow GOP candidates Jeb Bush, John Kasich, Sen. Ted Cruz (R-TX) and Donald Trump, who won with 35 percent of the vote. (Photo by Chip Somodevilla/Getty Images)
Now playing
01:22
Rubio: Jeb's lock on Florida money was costly 2016 hurdle
NORTH CHARLESTON, SC - JANUARY 14:  Republican presidential candidates (L-R) New Jersey Governor Chris Christie and Sen. Marco Rubio (R-FL) participate in the Fox Business Network Republican presidential debate at the North Charleston Coliseum and Performing Arts Center on January 14, 2016 in North Charleston, South Carolina. (Photo by Scott Olson/Getty Images)
Scott Olson/Getty Images
NORTH CHARLESTON, SC - JANUARY 14: Republican presidential candidates (L-R) New Jersey Governor Chris Christie and Sen. Marco Rubio (R-FL) participate in the Fox Business Network Republican presidential debate at the North Charleston Coliseum and Performing Arts Center on January 14, 2016 in North Charleston, South Carolina. (Photo by Scott Olson/Getty Images)
Now playing
03:35
Rubio says he walked into 'trap' laid by Christie in N.H. Debate
MANCHESTER, NH - FEBRUARY 06:  Republican presidential candidates Jeb Bush and Sen. Marco Rubio (R-FL) participate in the Republican presidential debate at St. Anselm College February 6, 2016 in Manchester, New Hampshire. Sponsored by ABC News, the Independent Journal Review and Google, this is the final televised debate before voters go to the polls for the New Hampshire primary on February 9.  (Photo by Joe Raedle/Getty Images)
Joe Raedle/Getty Images North America/Getty Images
MANCHESTER, NH - FEBRUARY 06: Republican presidential candidates Jeb Bush and Sen. Marco Rubio (R-FL) participate in the Republican presidential debate at St. Anselm College February 6, 2016 in Manchester, New Hampshire. Sponsored by ABC News, the Independent Journal Review and Google, this is the final televised debate before voters go to the polls for the New Hampshire primary on February 9. (Photo by Joe Raedle/Getty Images)
Now playing
03:39
Rubio on running against one-time mentor Jeb Bush
marco rubio trump attack embarrassed sot_00001028.jpg
marco rubio trump attack embarrassed sot_00001028.jpg
Now playing
00:59
Rubio 'embarrassed' by his personal attack on Trump
Now playing
01:30
Miami's Cubans discuss Sen. Marco Rubio
Marco Rubio Trump rally violence election sotu_00000000.jpg
CNN
Marco Rubio Trump rally violence election sotu_00000000.jpg
Now playing
01:29
Rubio: Someone could die at Trump rally
rubio supporting gop nominee carroll sot nr_00011913.jpg
rubio supporting gop nominee carroll sot nr_00011913.jpg
Now playing
01:56
Rubio: 'I'll support nominee, but it's getting harder'
CNN
Now playing
02:31
Rubio to Trump: I am correct, not politically correct
CNN Republican Debate at the University of Miami.
Edward M. Pio Roda/CNN
CNN Republican Debate at the University of Miami.
Now playing
02:35
Donald Trump, Marco Rubio spar over Cuba
OKATIE, SC - FEBRUARY 11:  Republican presidential candidate Sen. Marco Rubio (R-FL) speaks a campaign town hall meeting at the Sun City Hilton Head's Magnolia Hall February 11, 2016 in Okatie, South Carolina. Earlier in the week Rubio placed fifth in the New Hampshire primary, behind fellow GOP candidates Jeb Bush, John Kasich, Sen. Ted Cruz (R-TX) and Donald Trump, who won with 35 percent of the vote.  (Photo by Chip Somodevilla/Getty Images)
Chip Somodevilla/Getty Images/File
OKATIE, SC - FEBRUARY 11: Republican presidential candidate Sen. Marco Rubio (R-FL) speaks a campaign town hall meeting at the Sun City Hilton Head's Magnolia Hall February 11, 2016 in Okatie, South Carolina. Earlier in the week Rubio placed fifth in the New Hampshire primary, behind fellow GOP candidates Jeb Bush, John Kasich, Sen. Ted Cruz (R-TX) and Donald Trump, who won with 35 percent of the vote. (Photo by Chip Somodevilla/Getty Images)
Now playing
01:02
Marco Rubio 'not proud' of some Trump attacks
rubio mocks trump tweets rally sot ath_00023314.jpg
CNN
rubio mocks trump tweets rally sot ath_00023314.jpg
Now playing
02:38
Rubio mocks Trump at Dallas rally
cnn houston debate recap origwx nws_00001511.jpg
cnn houston debate recap origwx nws_00001511.jpg
Now playing
01:30
CNN's Houston GOP debate in 90 seconds
marco rubio anti-establishment record dnt tuchman ac_00010517.jpg
marco rubio anti-establishment record dnt tuchman ac_00010517.jpg
Now playing
02:00
Marco Rubio looks to avoid 'establishment' label

Story highlights

Rubio sharply rebuked Trump's arguments that the U.S. should scale down its global presence

Rubio's remarks follow his announcement that he has no interest in serving as Trump's running mate

Washington CNN —  

Sen. Marco Rubio on Tuesday argued against the U.S. foreign policy vision that presumptive Republican nominee Donald Trump has laid out.

The Florida Republican sharply rebuked Trump’s arguments that the U.S. should scale down its global presence in favor of focusing on domestic problems and argued that U.S. engagement around the world remains key to a healthy U.S. economy and national security. Rubio, speaking at the Hudson Institute here, framed his remarks in the context of the presidential race and pointed to policies Trump has adopted as central to his presidential campaign.

“It’s a lot easier to say let’s walk away. It’s a lot easier to say for example, why do we give all this money to NATO and these other people do not? It’s easier to say that than to explain what would happen if you didn’t,” Rubio said, alluding to Trump’s views on the North Atlantic Treaty Organization. “While it is true that there are certainly consequences and complexities presented by our engagement, I still think a world without our engagement is not a world we want to live in.”

“If we are not engaged in the world, the price will pay will be much higher in the long run than the price we pay to be engaged,” he added.

Rubio’s remarks follow his announcement that he has no interest in serving as Trump’s running mate. On Tuesday, Rubio, who just returned from a tour of Middle Eastern countries, pointed to a “sense that the whole U.S. engagement with the world is a one-way street,” which Trump has been tapping into throughout his campaign.

“The natural instinct is to say, ‘All this world just brings us (is) grief,’” Rubio said. “It just doesn’t work.”

Trump, while rejecting criticism that he is an isolationist, has argued that U.S. allies – including Japan, South Korea and Saudi Arabia – must begin funding a larger share of the U.S. military’s presence around the globe or risk losing U.S military protection in their region. In a foreign policy speech late last month, Trump outlined his foreign policy vision with the slogan “America First.”

But Rubio on Tuesday challenged those who believe the U.S. does not gain from its global footprint to consider the advances countries such as Japan and South Korea have made in recent decades as a result of a strong U.S. presence in the region.

“At the end of the day, the products we invent have to be sold somewhere,” Rubio said.

Asked directly about Trump, Rubio said he stands by his “policy differences and reservations” about Trump’s campaign, but said he would not spend his time knocking the presumptive GOP nominee.

“I don’t see myself as the guy who’s going to spend the next six months taking shots at him,” Rubio said, adding that he “respects” and “accepts” Trump’s nomination by Republican primary voters.

“That’s not going to change the reservations I have about this campaign,” he added.