Presumptive Democratic presidential nominee Hillary Clinton Hillary Diane Rodham ClintonJeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Momentum growing among Republicans for Supreme Court vote before Election Day Warning signs flash for Lindsey Graham in South Carolina MORE holds a 5-point lead over her likely general election rival, Donald Trump Donald John TrumpUS reimposes UN sanctions on Iran amid increasing tensions Jeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Trump supporters chant 'Fill that seat' at North Carolina rally MORE, in a new poll.

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Clinton leads Trump, 47 to 42 percent, among registered voters in the CNN/ORC Poll released Tuesday morning.

Those results track closely with those from an NBC News/Survey Monkey weekly tracking poll released early Tuesday. That online poll shows Clinton with a 6-point lead over Trump, compared to a 2-point lead just two weeks ago.

Clinton has held a lead in a series of recent national surveys. Trump was declared the Republican Party's presumptive nominee in early May, while Clinton clinched the same title earlier this month following wins in New Jersey and California.

Trump, however, has faced several weeks of negative attention over his focus on a federal judge's Mexican heritage and proposal to ban Muslims from entering the U.S. amid a renewed focus on terrorism. Clinton also bashed his response to the mass shooting at an Orlando gay nightclub.

A majority of Americans in the CNN poll, 55 percent, think that Clinton will win in November, while 38 percent think Trump will win.

More Clinton supporters, 37 percent, say they've made up their minds on who they will support in November, compared to 33 percent of Trump supporters. Another 10 percent of Clinton supporters say they could change their mind, while 9 percent of Trump supporters say the same.

Clinton also continues to lead Trump nationally when third-party candidates are factored into the race: Clinton leads with 42 percent, Trump has 38 percent, Libertarian nominee Gary Johnson Gary Earl JohnsonWhat the numbers say about Trump's chances at reelection Presidential race tightens in Minnesota as Trump plows resources into state The Hill's Campaign Report: Biden condemns violence, blames Trump for fomenting it l Bitter Mass. primaries reach the end l Super PAC spending set to explode MORE has 9 percent and Green Party candidate Jill Stein has 7 percent.

The CNN survey of 1,001 U.S. adults, including 891 registered voters, was conducted via landlines and cellphones June 16–19. It has an overall margin of error of 3 percentage points and a margin of error of 3.5 points for registered voters.

This report was updated at 7:33 a.m.