The polygamous Brown family, best known for its TLC reality series "Sister Wives," filed an appeal to Utah's polygamy ban and cited the historic U.S. Supreme Court same-sex marriage ruling as an example that marriage laws should reflect the changing times, reported the Associated Press.

Jonathan Turley, attorney to the Brown family, said they are prepared to take the legal fight to the U.S. Supreme Court if necessary. The family argued that through the TLC series, they prove that polygamous marriages are capable of providing a healthy environment for children.

"The Browns were investigated and no crimes or harm was found in their plural family," wrote Turley in court documents obtained by the AP.

U.S. District Court Judge Clark Waddoups overturned the ban on polygamy in the family's home state of Utah in December 2013, reported the local paper Salt Lake Tribune. The Browns are asking the U.S. 10th Circuit Court of Appeals to uphold the ruling and decriminalize polygamy.

"From the very outset of the case, the Brown family maintained that it was not challenging the right of any state to criminalize bigamy or the possession of multiple state marriage licenses by individuals," wrote Turley in the filing, according to local TV news station Fox 13. "The Browns also consistently asserted that they were not arguing for the state recognition of plural marriage."

The Browns requested to argue their case before the 10th circuit court, Fox 13 reported, which could take place before the end of the year.