Brian Bosma, an Indianapolis Republican, said passing the measure, which has already been approved by the Indiana state Senate, would involve the state in an almost certainly futile lawsuit, the Indianapolis Star reported.
He said Tuesday a 1987 decision by the U.S. Supreme Court overturning a Louisiana law is "on point."
Bosma sent the bill to the rules committee, which effectively prevents it from coming to the floor for a vote.
Unlike the Louisiana law, the Indiana one would have allowed schools to present creation science as an alternative to evolution but would not have required it.
The high court found that creation science is religion, not science, and allowing it in public schools would violate the First Amendment.
State Sen. Dennis Kruse, the bill's Republican sponsor, said last month he believes the current Supreme Court might be willing to uphold his law.