The vast majority of Democrats also support banning all semi-automatic weapons.
More than a third of the Democratic party would do away with the Second Amendment, a survey by The Economist and YouGov revealed.
Even 21 percent of the American public would support that plan, according to the study.
The poll was conducted from February 25-27, while the nation was still reeling from the school shooting in Parkland, Fla., that killed 17 earlier last month.
Student survivors of the shooting have marched on Washington, D.C., and the Florida capitol calling for gun control. President Trump met with a bipartisan group of lawmakers on Wednesday to discuss several measures, including an assault-weapons ban, raising the age to buy an assault rifle from 18 to 21, and reforming background checks.
The survey also showed that a majority of Democrats, 82 percent, are in favor of banning semi-automatic weapons, which include handguns as well as rifles. Only slightly over half of Republicans, 53 percent, are against this proposal.
Democrats are evenly split on banning all handguns (including revolvers) except those carried by law enforcement.
Half of the general population said that gun purchasers should be required to pass a mental examination before walking away with a firearm, with 68 percent of Democrats and 41 percent of Republicans supporting this idea.