The incident took place on Monday in Achin, Nangarhar province, the statement said.
Two of the wounded service members are being treated at a medical facility and in stable condition, it added.
US soldiers take positions during an operation against IS in Afghanistan. File photo/AFP
One US service member was killed and four others injured during a "combat engagement" in the eastern Afghan province of Nangarhar, the US military said in a statement on Tuesday.
