A Vermont-based nonprofit organization is presenting a new way for getting money out of politics: Stamp it.

"Stamp Stampede," which was started by Ben Cohen, co-founder and former CEO of Ben & Jerry's Ice Cream, sells stamps with messages like these: "Not to be used for bribing politicians." They can be legally stamped on U.S. paper currency, as it does not destroy nor deface it to the point it becomes unrecognizable, according to the group's website.

Cohen told CNBC's "Squawk on the Street" on Tuesday that it is part of a much larger movement. "Millions of Americans are fed up with a system that no longer represents them because of the big money that politicians are being paid as an investment by corporations," he said.

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Cohen also said his organization's message is already making its way across the U.S. "Every time you stamp a dollar bill and put [it] in circulation, 875 people see it. One person stamping three bills a day reaches 1 million people," he said. More than 30,000 stamps have been sold by Stamp Stampede, its website said.

Cohen added the group also aims to amend the U.S. Supreme Court's ruling in the Citizens United case. "We either need to change some justices on the Supreme Court, [or] pass national, state [and local] legislation," he said. "Fifty-four senators voted in favor of it last time around … and you need 66." Cohen also said 17 states have voted in favor of amending the U.S. Constitution and overturning the Citizens United ruling.

The 2010 decision by the high court allowed unlimited political expenditures by corporations and unions.

"The idea is that it's supposed to be one person, one vote; not one dollar, one vote. … We need to make [it] so that politicians are no longer beholding to those that pay them big money, [for example], the corporations [and] the unions," Cohen added.