Carolyn McCarthy (D-N.Y.) is co-sponsoring a House of Representatives bill preventing people on the government's no-fly list from purchasing guns.

House representatives will introcude a bill Wednesday that would ban anyone on the controversial no-fly list from purchasing a gun in the U.S.

Rep. Carolyn McCarthy (D-N.Y.), a strong gun control advocate, is co-sponsoring the legislation that would apply to the nearly 1 million people that make up the government’s no-fly list – people believed to either be terrorist or have strong terrorism connections.

Currently the no-fly list is not a part of the background check for buying guns.

A Zogby International Poll last month found that 69 percent of 3,967 registered American voters only supported a move to prohibit people on the no-fly list from buying a weapon if they have previously been convicted of a crime. On the other hand, 20 percent said anyone on the list should be prohibited.

The no-fly list has received criticism in the past for stopping people with similar names to those on the list from flying.