By Jesse Byrnes
Poll: Cruz within 3 points of Trump nationally
Republican presidential candidate Donald TrumpDonald TrumpWhen it comes to reducing taxes, free trade makes us 'smart' Clinton blasts Trump for recent 'meltdown' over Miss Universe WATCH LIVE: Trump holds rally in Michigan MORE holds a slim three-point lead over rival Ted CruzTed CruzTech groups file court brief opposing internet transition suit Cruz criticizes federal law enforcement on terrorism Four states sue to stop internet transition MORE nationally, according to a new poll released Tuesday.
Trump has 30 percent support, according to the NBC News/Wall Street Journal survey, with Cruz at 27 percent.
Last month's version of the same poll found Cruz two points ahead of Trump. It was the only poll since November to show someone other than Trump leading the field nationally.
Tuesday's results show a tightening in the GOP field overall, with 10 points separating all GOP candidates.
John Kasich is in third place with 22 percent, with Marco RubioMarco RubioFlorida paper endorses Clinton, writes separate piece on why not Trump GOP lawmakers slam secret agreement to help lift Iran bank sanctions Overnight Finance: Lawmakers float criminal charges for Wells Fargo chief | Scrutiny on Trump's Cuba dealings | Ryan warns of recession if no tax reform MORE behind him at 20 percent.
Kasich's support is double the 11 percent he got in last month's version of the poll.
The NBC/Journal poll also found Trump losing in hypothetical head-to-head match-ups with his GOP rivals.
Cruz and Kasich each best Trump, 57 to 40 percent, while Rubio tops Trump by slightly less, 56 to 43 percent.
A separate national survey from ABC News and The Washington Post released earlier Tuesday found Trump losing in head-to-head match-ups with Cruz and Rubio. A head-to-head with Kasich was not measured.
The polls come as Republicans are battling in four contests Tuesday: Michigan, Mississippi, Idaho and Hawaii.
The NBC/Wall Street Journal national poll of 397 GOP primary voters was conducted March 3-6 via landlines and cellphones, with a margin of error of 4.9 percentage points.