His death remains under investigation.
The U.S. has accused Iran-backed militias of carrying out such attacks in the past.
Nearly two dozen more medals are in the works.
While the death remains under investigation, officials said, COVID-19 is not suspected as the cause.
An unspecified number of troops injured in the Al Asad missile attack have been recommended for Purple Hearts.
Community members kept the parade going for more than two hours, and many of their cars blasted music.
The attacks were in retaliation for a U.S. drone strike that killed Iranian Quds Force commander Maj. Gen. Qasem Soleimani.
Patriot missile launchers and two other short-range systems are now in place at al-Asad Air Base.
The United States will hold talks with Iraq in June on the future of its troop presence in the country.
The rockets targeted the site of Halliburton in the Burjesia area in the oil-rich Basra province, the statement said.