The U.S. Embassy in Jordan issued a security alert on Thursday, warning of potential "missiles, drones, or rockets" entering Jordanian airspace.

"Seek overhead cover and shelter in place immediately," the alert said. "Remain indoors and pay attention to local announcements and alerts."

-ABC News' Joe Simonetti

At least one person was injured in Kuwait as the country's air defences shot down drones and missiles on Thursday morning, the country's army said.

At least three ballistic missiles, one cruise missile and 10 drones were "successfully intercepted and dealt with," according to a statement posted by the Kuwait Army.

"This resulted in material damage due to the fall of debris in several locations across the country, in addition to one human injury, where the injured person is receiving the necessary medical care, and their condition is stable," the army said.

Bahrain and Kuwait came under attack from missiles and drones on Thursday, their respective militaries said, as the Iranian military said it had launched attacks targeting U.S. bases in both countries.

Iran's Islamic Revolution Guards Corps said the aerial attacks were a retaliation for U.S. strikes against Iran, according to a statement published by Iranian state media outlets.

The military in Bahrain said that "Iran is persisting in its systematic hostile approach through heinous attacks involving missiles and drones targeting civilians in the Kingdom of Bahrain."

The country’s air defense systems destroyed "a number" of Iranian aerial attacks, the Bahrain Defence Force said in a social media post.

Kuwait earlier on Thursday said its air defense systems were "confronting hostile missile and drone attacks," but stopped short of identifying where those attacks were coming from.

"The General Staff of the Army notes that if explosion sounds are heard, they are the result of air defense systems intercepting the hostile attacks," the Kuwait Army said on social media.

U.S. forces have completed an additional round of strikes against Iran, striking roughly 90 military targets, U.S. Central Command said in an update late Wednesday.

CENTCOM said the targets included air defense systems, coastal surveillance assets, missile and drone storage sites, naval capabilities and military logistics infrastructure along Iran’s coastline.

The strikes "further degrade Iran's ability to attack commercial shipping and innocent civilian mariners in the Strait of Hormuz."

The night before, CENTCOM said U.S. forces hit approximately 80 Iranian military targets.