The State Department said Soleimani Afsha is an “outspoken supporter of the totalitarian, terrorist regime in Iran”.
The statement also added that Soleimani Afshar had promoted “Iranian regime propaganda” on her social media account.
Soleimani Afshar’s husband has also been barred from the US, the statement said. The state department did not name Soleimani Afshar’s daughter or husband.
Rubio also shared a statement on X, saying Soleimani Afshar and her daughter were “green card holders living lavishly in the United States”.
Gen Qasem Soleimani spearheaded Iranian military operations in the Middle East as head of Iran’s elite Quds Force.
The 62-year-old was killed at Baghdad airport, along with other Iran-backed militia figures.
President Trump spoke about Soleimani during his national address on Wednesday, referencing the strike he ordered on the commander.
“I killed Gen Qasem Soleimani in my first term. He was an evil genius, brilliant person, a horrible human being however, the father of the roadside bomb, and he lived just horrible, what he did,” Trump said.
He added that Iran would have been “perhaps in a far better, stronger position” in the war if Soleimani was still alive.