Republican presidential candidate Donald Trump has hit a new polling high, claiming 56 percent support among Republicans and GOP-leaning voters in a new NBC News/Survey Monkey poll released Tuesday.

Ted Cruz Rafael (Ted) Edward CruzSenate Republicans face tough decision on replacing Ginsburg Cruz: Trump should nominate a Supreme Court justice next week Renewed focus on Trump's Supreme Court list after Ginsburg's death MORE and John Kasich followed with 22 percent and 14 percent, respectively.

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Trump rose 6 points from last month’s edition of the same poll, while Cruz dropped 4 points and Kasich dropped 3.

A plurality of Republicans surveyed, 39 percent, said Cruz should stay in the GOP race through the party's convention in July. Slightly fewer, 36 percent, said he should drop out now, while 23 percent said he should drop out next month if he's running behind at the end of the primary season.

Meanwhile, 58 percent said Kasich should drop out now, while another 26 percent said he should stay in the race until Cleveland and 15 percent said drop out next month.

The survey of 3,479 GOP registered voters took place April 25–May 1. It has a margin of error of 2.2 points.