This action overturned a previous decision in which a court ruled the Utah law violated the Brown's rights to religious freedom and privacy. They now reside in Las Vegas, and while no charges have been filed against them, the Browns fear that they remain at risk.
News, Kody Brown and his four wives, Meri, Christine, Janelle, and Robyn, seek to combat a Utah appeal court's ruling that forbids cohabitation with more than one partner. It didn't consider the constitutional issues. In most polygamous families, the man is legally married to one woman and "spiritually married" to the others.
Generally, Utah does not pursue its polygamist residents, but prosecutors explain that banning the practice is a necessary measure.
"This has been an extended and hard struggle for the Brown family but they have never wavered in their commitment to defending the important principles of religious freedom in this case", Turley said.
The appeal is a long shot as the Supreme Court has the freedom to pick and choose which cases they will hear.
The family's attorney, Jonathan Turley, said in a statement the appeals court ruling curtailed the right for plural families to be heard in federal court.
The Browns once lived in Lehi, Utah, but relocated to Nevada in 2011. "This lawsuit is true to the original dream of those seeking freedom in Utah'".
The Browns took the case to the nation's highest court after the 10th U.S. Circuit Court of Appeals denied a request to reconsider it.
The investigation was closed without filing charges, but the Browns say the threat of prosecution still exists.
The Utah Attorney General's Office, which represented Buhman in the appeal, had no comment Monday. Local authorities began to investigate them after the family appeared on Sister Wives andchronicled their way of life. They're the polygamous stars of Sister Wives.
The mainstream Mormon church, called the Church of Jesus Christ of Latter-day Saints, abandoned polygamy in 1890 and prohibits the practice for its 15 million members worldwide.