Poll: Trump leads GOP by 13 points nationally
© Greg Nash

Republican presidential front-runner Donald TrumpDonald TrumpWhat blue wave? A close look at Texas today tells of a different story Democrats go down to the wire with Manchin Trump's former bodyguard investigated in NY prosectors' probe: report MORE has a 13-point lead over rival Ted CruzRafael (Ted) Edward CruzSenate Republicans: Newly proposed ATF rules could pave way for national gun registry DeSantis tops Trump in 2024 presidential straw poll White House denies pausing military aid package to Ukraine MORE, according to a new CBS News poll released Thursday.

Trump has 42 percent support among Republican primary voters nationally, while the Texas senator has 29 percent and Ohio Gov. John Kasich has 18 percent.

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Although Trump still maintains a double-digit edge over his nearest competitor, his lead has decreased from last month's version of the same poll, when he led Cruz by 20 points.

Trump leads among men, women, Republicans, independents, white evangelicals and those without a college degree.

Cruz leads among very conservative voters and those who attend religious services weekly.

The poll also found that Trump would still hold a 10-point lead over Cruz if the two were facing off head-to-head.

Trump has a 49 percent favorable rating among Republicans to 36 percent unfavorable, according to the poll.

Cruz's ratings are 40 percent favorable to 32 percent unfavorable. Kasich's are 32 percent favorable to 23 percent unfavorable.

The poll was conducted from April 8 to 12 among 1,320 adults nationwide. The margin of error is 3 percentage points.