One of the ships reached Sri Lanka this morning and another will reach tomorrow.
In a series of tweets last night, Prime Minister Narendra Modi had said that India stands by the people of the island nation and that ships are being rushed with relief material.
He also condoled the death of 90 people due to rain- triggered floods and landslides in Sri Lanka.
"We stand with our Sri Lankan brothers and sisters in their hour of need," he had said.
Heavy floods and landslides triggered by the worst rainfall since 1970s have killed over 90 people and left 110 missing in Sri Lanka, officials said, warning the situation could get worse.