In documents filed with a three-judge panel, the NAACP argues new district lines approved in September by the Justice Department merit new state House and Senate elections.
The 122 House districts and 52 Senate districts were redrawn by the Legislature this past spring to reflect population shifts after the 2010 Census.
Lawmakers elected in 2011 under the previous boundaries would hold those seats until 2015. The NAACP contended and some state officials agreed that the districts used in 2011 did not reflect shifts shown in the 2010 Census.
Because of Mississippi's history of racial discrimination, the Voting Rights Act requires the state to get federal approval for any election law changes.