MIAMI — Ushered in amid promises that it would save taxpayers money and deter drug users, a Florida law requiring drug tests for people who seek welfare benefits resulted in no direct savings, snared few drug users and had no effect on the number of applications, according to recently released state data.

“Many states are considering following Florida’s example, and the new data from the state shows they shouldn’t,” said Derek Newton, communications director for the American Civil Liberties Union of Florida, which sued the state last year to stop the testing and recently obtained the documents. “Not only is it unconstitutional and an invasion of privacy, but it doesn’t save money, as was proposed.”

This week, Georgia instituted a nearly identical law, with supporters saying it would foster greater personal responsibility and save money. As in Florida, the law is expected to draw a legal challenge. The Southern Center for Human Rights, based in Atlanta, said it expected to file a lawsuit once the law takes effect in the next several months. A number of other states are considering similar bills.

The Florida civil liberties group sued the state last year, arguing that the law constituted an “unreasonable search” by the government, a violation of the Fourth Amendment. In issuing a temporary injunction in October, Judge Mary S. Scriven of Federal District Court scolded lawmakers and said the law “appears likely to be deemed a constitutional infringement.”