That doesn't mean it will harm Trump's bid for the Republican nomination. A 42 percent plurality of Republicans say they favor the idea, slightly more than the 36 percent who oppose it.
Where Trump would face a backlash is in a general election should he prevail in the primaries. Seventy-five percent of Democrats and 55 percent of independents disagree with his proposal.
The telephone poll of 495 American adults, conducted Dec. 8-9, carries a margin for error of 4.4 percentage points.
Earlier this week, Trump called for the U.S. to bar all Muslims from entering the country until U.S. leaders can "determine and understand this problem and the dangerous threat it poses."