Iran said it targeted a US military vessel hosting a "control and command" centre on Wednesday, as it approached Iranian territorial waters in the Gulf of Oman.
US Central Command denied any such attack.
Kuwait's airport also sustained significant damage in what was originally blamed on Iranian strikes, which Iran said was the result of a Patriot missile interceptor gone awry.
US Central Command has described Iran's more than 30 ballistic missiles aimed at Kuwait on Wednesday as a "deliberate, calculated, and unjustified attack", after one person was killed, and some 60 others were wounded at Kuwait airport.
Kuwait has been a frequent target for Tehran, which claims that the Gulf country has been used as a launchpad for US missiles against it.
