Coming off of his first political win in New Hampshire, Donald Trump now has his sights set on South Carolina, and a new national poll shows he may be gaining even more momentum across the country.

According to a poll from Morning Consult, he has more than double the support of any rival among self-identified Republicans and Republican-leaning independents.

Trump holds a commanding 44 percent lead with this key voting bloc. His closest rival, Ted Cruz, only comes in with 17 percent of support.

See Donald Trump at a rally with the troops:

4 PHOTOS Donald Trump's Iowa Rally at the same time as GOP debate See Gallery Polls give Donald Trump huge advantage going into South Carolina Donald Trump speaks during a campaign rally raising funds for US military veterans at Drake University in Des Moines, Iowa on January 28, 2016. US Republicans scrambling to win the first contest in the presidential nomination race were gearing for battle at high-profile debate in Iowa, but frontrunner Donald Trump is upending the campaign by defiantly refusing to attend. Trump's gamble has left the presidential race in uncharted waters just days before Iowans vote on February 1, insisting he will not back down in his feud with debate host Fox News.Instead, the billionaire has doubled down, hosting a rogue, rival event for US military veterans at the same time that his own party is showcasing its candidates for president to all-important Iowa voters. / AFP / William EDWARDS (Photo credit should read WILLIAM EDWARDS/AFP/Getty Images) Donald Trump, president and chief executive of Trump Organization Inc. and 2016 Republican presidential candidate, waves during a campaign event in Des Moines, Iowa, U.S., on Thursday, Jan. 28, 2016. Trump, according to a flurry of early-state and national polls, is the overwhelming favorite of self-identified moderate and liberal Republican voters. Among more conservative voters, he often trails his chief rival for the nomination, U.S. Senator Ted Cruz. Photographer: T.J. Kirkpatrick/Bloomberg via Getty Images Donald Trump, president and chief executive of Trump Organization Inc. and 2016 Republican presidential candidate, speaks during a campaign event in Des Moines, Iowa, U.S., on Thursday, Jan. 28, 2016. Trump, according to a flurry of early-state and national polls, is the overwhelming favorite of self-identified moderate and liberal Republican voters. Among more conservative voters, he often trails his chief rival for the nomination, U.S. Senator Ted Cruz. Photographer: T.J. Kirkpatrick/Bloomberg via Getty Images Protesters, left, are confronted by supporters during a campaign event for Donald Trump, president and chief executive of Trump Organization Inc. and 2016 Republican presidential candidate, in Des Moines, Iowa, U.S., on Thursday, Jan. 28, 2016. Trump, according to a flurry of early-state and national polls, is the overwhelming favorite of self-identified moderate and liberal Republican voters. Among more conservative voters, he often trails his chief rival for the nomination, U.S. Senator Ted Cruz. Photographer: T.J. Kirkpatrick/Bloomberg via Getty Images Up Next See Gallery Discover More Like This HIDE CAPTION SHOW CAPTION of SEE ALL BACK TO SLIDE

In South Carolina, polls of likely primary voters also find him with a wide margin over the next closest Republican, Ted Cruz. Although the margin isn't quite as large as that national poll.

The pair have battled over social media and through ads. Cruz recently launched an attack ad blasting Trump for having "a pattern of sleaze stretching back decades."

Despite his strong lead, Cruz lashed out at Ted Cruz on Twitter. "How can Ted Cruz be an evangelical Christian when he lies so much and is so dishonest?" the 2016 candidate wrote.

How can Ted Cruz be an Evangelical Christian when he lies so much and is so dishonest? — Donald J. Trump (@realDonaldTrump) February 12, 2016

More from AOL.com:

2 teenage girls dead in shooting at Arizona high school: police

Harvard is one step closer to offering free tuition

Mystery surrounds severed feet that have washed up on Northwest beaches