"Today, the judge refused to allow the men to continue litigating the case seeking damages for the harm they have suffered as a result of being placed on the list," the press release read.
In 2013, a no-fly list that was kept by the US government in secret listed the names of 48,000 individuals, according to the advocacy group.
The affected Muslims alleged they have never received any explanations why they were placed on the government's list.
Prior to a hearing in the case, the listed men received letters from US officials indicating that they were no longer restrained from traveling. Later, the US federal judge dismissed the lawsuit, according to the press release.
"While the pressure of this lawsuit has compelled the government to remove our clients from the no-fly List, that does not remedy the harm they suffered as a result of being on the list in the first place," Center for Constitutional Rights Senior Managing Attorney Shayana Kadidal said.
The advocacy group noted that the men placed on the list were not able to see their families overseas for years, and experienced problems at work in addition to suffering distress.