The justices did not comment Monday in rejecting an appeal of lower court decisions that left the order in place at least until 2017.
The order stems from a lawsuit filed by Democrats in New Jersey in 1981 that objected to a "ballot security" program the RNC ran in minority neighborhoods.
Republicans said the order hampers efforts to combat voter fraud, but U.S. District Judge Dickinson Debevoise said voter intimidation remains a threat and preventing it outweighs the potential danger of fraud.
The court action is unrelated to legal challenges to Republican-inspired voter identification laws in the 2012 campaign.
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