The bill proposed a $5 transaction fee on money wired to locations outside the United States, plus a 1 percent fee for any out-of-country wire transfer over $500.
The money was to be put into a fund to build a border fence.
Senate Judiciary A Committee Chairman Joey Fillingane, a Republican, says he filed the bill at the request of tea party groups.
But Fillingane says his committee won't consider the bill because there were too many questions about how a border fence fund would be administered.
Mississippi does not share a border with Mexico.