"The new submarines are said to be more advanced, longer and equipped with better accessories," the newspaper report said.
The Israeli Defense Ministry refused to provide an immediate response.
While Israel pursues a policy of neither acknowledging nor denying its nuclear weapons capabilities, the Dolphin submarines are reportedly able to carry and launch missiles equipped with nuclear warheads.
"Submarines bring a level of intelligence to Israel that cannot be achieved by other units," a senior Israeli military representative said in an interview with the Jerusalem Post in 2014. "A submarine can stay in enemy territory for weeks, and no one knows it's there."
In addition to the submarines, Israel reportedly plans to upgrade its entire surface combat fleet. New German-built Sa'ar-6 corvette warships are expected to join the fleet over the next few years, and new radars with electronic warfare systems are being installed on existing Sa'ar-5 and Sa'ar-4.5 ships. The total cost of four Sa'ar-6 corvettes is estimated as 430 million euros ($468 million).