Israel says the ship belongs to the Palestinian Authority and Prime Minister Ariel Sharon has accused its leader, Yasser Arafat, of being a key figure in international terrorism.
The Palestinian leadership has denied any connection with the shipment and says it is ready to take part in an international investigation into the affair.
Lloyd's List names the current owner of the ship, the Karine A, as Iraqi national Ali Mohammed Abbas.
Documents quoted by the paper are said to show that Mr Abbas bought the vessel from its former owners, a Lebanese shipping company, on 31 August last year.
Cargo of rockets
The paper says it has established that it was previously known as the Rim K, and registered in Lebanon.
If the ownership is confirmed, it could undermine Mr Sharon's claim that Mr Arafat personally ordered the arms shipment and that the Palestinian Authority was "a major player in the networks of world terrorism spearheaded by Iran".
Iran has also denied any connection with the arms but there was no immediate reaction from Iraq.
The vessel was seized by Israeli forces in international waters in the Red Sea early on Thursday and is being held in the port of Eilat.
Its cargo included Katyusha rockets with a 20-kilometre (12-mile) range, anti-tank rockets, mortar bombs, sniper rifles, mines and ammunition.
Israeli authorities said the weapons were mainly Iranian-made and that the captain was a colonel in the Palestinian naval police.
The Lloyd's List article says it would be unlikely that an Iraqi-owned boat would be delivering Iranian arms, given the history of enmity between the two states, unless the boat was owned by an Iraqi opposition group.
It was also possible that an Iraqi owner might have seen the delivery of arms as a simple business deal or that the vessel's owner did not know what it was carrying.