WASHINGTON — People convicted of minor domestic violence offenses can be barred from possessing guns even in states where no proof of physical violence is required to support the domestic violence charge, the Supreme Court ruled Wednesday.

The ruling was a victory for the Obama administration, gun control groups and advocates for victims of domestic abusers who say the gun ban is critical in preventing the escalation of domestic violence.

The justices unanimously rejected the argument put forth by gun rights groups and a Tennessee man who pleaded guilty to misdemeanor domestic assault against the mother of his child in 2001. The man, James Castleman, was then charged in 2009 with illegal possession of a firearm after he and his wife were accused of buying guns and selling them on the black market.

Federal law bars a person convicted of misdemeanor domestic violence involving the use of physical force or a deadly weapon from possessing a firearm. But Castleman said he should not have to face the gun charges because the Tennessee law doesn’t specify that his domestic violence crime had to include physical force.

A federal judge agreed with Castleman and dismissed the charges because, he said, the victim could theoretically have been poisoned or tricked into injuring herself, which wouldn’t technically count as physical force. The dismissal was upheld, on different grounds, by the 6th U.S. Circuit Court of Appeals in Cincinnati.

The Supreme Court reversed the appeals court and reinstated the charges against Castleman, in an opinion by Justice Sonia Sotomayor. Writing for the court, Sotomayor said it was enough that Castleman pleaded guilty to having “intentionally or knowingly caused bodily injury to” the mother of his child.