Currently, more than a dozen states have similar reason bans in place.
"These bans are just another way anti-abortion politicians are attempting to limit the constitutional right to abortion care and to create stigma," said Nancy Northup, president and CEO of the Centre for Reproductive Rights, in a statement.
"Decisions about whether and when to continue or to end a pregnancy are best made by the individual and their family."
The Attorney General's office said in a statement that they "appreciate the Sixth Circuit lifting the lower court's injunction" and looked forward to continuing defending the statute.
"Our law prohibits abortion based on the race, gender, or diagnosis of Down syndrome of the child and the court's decision will save lives," Lee said in a statement.
"Protecting our most vulnerable Tennesseans is worth the fight."
Immediately following the appeals court ruling, the plaintiffs' attorneys filed a request in lower federal court for a temporary restraining order to block the reason bans once again, but this time argued the law illegally prohibits a patient from "obtaining constitutionally protected pre-viability abortion care".
"[The] Sixth Circuit only addressed plaintiffs' vagueness claims and explicitly declined to issue any ruling with respect to plaintiffs' claims that the reason bans violate patients' constitutional right to pre-viability abortion," the attorneys wrote.
The court had not issued a ruling on that as of Friday evening.
Down syndrome is a genetic abnormality that causes developmental delays and medical conditions such as heart defects and respiratory and hearing problems.
According to the National Down Syndrome Society, about one in every 700 babies in the United States — or about 6000 a year — is born with the condition, which results from a chromosomal irregularity.
The rarity of the condition has prompted abortion rights groups to paint the Down syndrome bans as part of yet another thinly veiled effort by lawmakers to continue chipping away at a patient's right to an abortion.