The injured crew members from the attack, which took place on Tuesday, have been evacuated and are being provided with medical care, the company said.
French shipping group CMA CGM said on Wednesday that one of its vessels, the San Antonio, had been targeted in an attack while transiting the Strait of Hormuz, resulting in injuries among crew members and damage to the vessel.
The incident, which CMA CGM said occurred on Tuesday, is the latest disruption in the crucial shipping route during the Middle East conflict. The war has blocked hundreds of vessels and brought roughly 20% of global oil trade to a virtual standstill.
US President Donald Trump said on Tuesday he would briefly pause an operation to help escort ships through the Strait of Hormuz, citing "great progress" toward a comprehensive agreement with Iran.
CMA CGM said injured crew members from the San Antonio have been evacuated and are being provided with medical care. It declined to comment further on the incident.
The company had reported last month that one of its vessels was the target of warning shots in the strait, although no crew was injured.
The French firm, the world's third-largest container shipping line, has indicated that 14 of its vessels were stranded in the Gulf at the start of the US-Israeli war with Iran. One ship, the CMA CGM Kribi, exited the Strait of Hormuz at the start of April.
The Maltese-flagged San Antonio's destination is listed as Mundra, India, according to shipping data.
IRGC targets Kurdistan Region with drone
The incident comes after Iran's Islamic Revolutionary Guard Corps (IRGC) targeted the Surdash camp, an Iranian Kurdish area of the Biban region, where families of Iranian Kurdish opponents live, with two drones, the Kurdistan Regional Government Security Directorate stated on Tuesday.
No casualties were reported, according to the security directorate.
Residents in the Iranian cities of Bandar Abbas, Qeshm, and Sirik reported hearing explosions around 4 a.m. local time, several hours after the reported explosions in the Biban region.
Provincial authorities later confirmed the sounds were caused by air defenses intercepting drones, according to the Students News Network.
The authorities added that no impact, damage, or explosion had occurred.