The Press Trust of India news agency says the missile would soon be ready for deployment on platforms, including a nuclear submarine.
India's Defense Ministry spokesman was not available for comment.
Pallava Bagla, a defense expert, said Sunday's test off the east coast was 14th in the series with a range of 700 kilometers (435 miles). It would complete India's nuclear triad—the capability to launch missiles from land, air and below the sea.
India and its nuclear-armed rival Pakistan routinely test different versions of their missiles. The countries have fought three wars since they gained independence from Britain in 1947.