Container shipping company Maersk said it was halting passage through the Suez Canal and the Strait of Hormuz for "safety" reasons.
The Danish group was the latest of several shipping groups to make similar announcements after Iran's Revolutionary Guards declared the strait closed on Saturday.
Iran and Iranian-backed groups fired missiles at Israel and Arab states, and Israel and the United States pounded targets in Iran as the war expanded Monday.
The attacks were the second combined strikes in eight months from the US and Israel against Iran. In the 12-day war last June, Israeli and American strikes greatly weakened Iran’s air defenses, military leadership and nuclear program.