The new complaint was filed on Tuesday in the US district court in California, a day after the two year anniversary of the earthquake, tsunami and nuclear disaster that hit the eastern coast of Japan. It left nearly 15,881 people dead and 2,668 others still unaccounted for.
The plaintiffs include active duty and retired shore-based Marines, shore-based dependents and sailors from ships that operated in the disaster area.
The newspaper said peers of the plaintiffs complain the latter are seeking an easy payoff and that the Pentagon insists the radiation they were exposed to did not pose a major health risk.
The plaintiffs says they have suffered a number of ailments that they say are linked to their exposure, including headaches, difficulty concentrating, rectal bleeding, thyroid problems, cancer, tumours and gynaecological bleeding.