According to the news, the tanker was seriously damaged by fire in the attack on Friday.
Iran's state television also reported that the oil spilled from the tanker that was attacked at sea 96 kilometers from the port of Jeddah.
The "Red Sea" and the attacks on oil tankers in the Persian Gulf region will increase the tension between the two neighbors, Iran and Saudi Arabia.
The United States Navy's fleet in the area said it was aware of Iran's claim from the "Fifth Fleet". However, they did not agree to give any more information in this regard.
There was no immediate comment from Saudi Arabia on the attack.
Iran's news agency ISNA, citing unnamed people, reported a "terrorist" attack on an Iranian oil tanker. And the country's state television broadcast the news that two of their tankers were damaged.
For quite some time now, there has been tension in the 'Red Sea Shipping Area', a vital sea route connecting the Indian Ocean and the Mediterranean Sea through the Suez Canal.
Attacks on oil tankers in the Gulf of Erlaka in May and June and last month at one of Saudi Arabia's major oil fields have been followed by another attack on oil tankers in the Gulf region.
Riyadh and Washington have accused Iran of being behind the attacks on Saudi oil fields. Tehran denied the allegations.
Oil prices rose 2 percent in international markets after news of an attack on an Iranian oil tanker broke on Friday.
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