Three Kuwaiti soldiers were injured by shrapnel when a base housing US personnel was targeted earlier on Saturday, a Kuwait defence ministry spokesman said, as Iran hit the Gulf in retaliation for US and Israeli attacks.
Earlier, the health ministry said 12 people had been injured during and in the aftermath of the strikes. It was unclear if the three soldiers were among the toll.
"Shrapnel fell at Ali Al Salem Air Base after air defence forces engaged ballistic missiles and drones, resulting in minor injuries to three members of the armed forces and some material damage," said Colonel Saud Al-Atwan.
The strikes also hit Kuwait's international airport, the civil aviation authority said, causing minor injuries.
Iran has carried out retaliatory strikes in much of the oil-rich Gulf following US and Israeli attacks -- rattling a region long seen as a haven of peace and security in the region.
All of the Gulf countries have been hit, except for Oman, a mediator in the US-Iran talks.