Washington (CNN)Republican presidential front-runner Donald Trump is building on his national lead among GOP voters, according to a New York Times/CBS News poll released Thursday morning.
Poll: Voters fret Trump or Clinton in the White House
But many voters expressed fear or concern at the idea of a Trump presidency -- or a Hillary Clinton one.
Trump is dominating the GOP pack with 35% support, according to the new poll. Texas Sen. Ted Cruz and retired neurosurgeon Ben Carson trail him with 16% and 13% support respectively.
But the new national poll also found that 24% of all voters showed "concern" and 40% expressed "fear" over what Trump would do were he to win the White House next year.
On the Democratic side, front-runner Hillary Clinton leads Vermont Sen. Bernie Sanders by 20 percentage points.
But voters also showed worry over a Clinton presidency: 23% said they are concerned by the possibility, and 34% said they were scared.
The poll surveyed 1,053 registered voters, including 431 Republican primary voters and 384 Democratic primary voters, between December 4-8 with a margin of error of plus or minus 4 percentage points for registered voters, and plus or minus 6 percentage points each for Republican and Democratic primary voters.
The poll was mostly conducted before Trump made a proposal to ban all Muslim travel to the U.S.