The special package was sought by Kerala Chief Minister Pinarayi Vijayan during a meeting with Prime Minister Narendra Modi on Tuesday evening.
PM Modi held a meeting with Mr Vijayan where he assured the chief minister and others that the package would be considered sympathetically, a government release said.
This package is besides the Rs 422 crore sought by the state under the National Disaster Relief Fund which is being deemed insufficient to meet all losses incurred by cyclone Ockhi.
The state also wanted the Centre to declare the devastation as a national disaster.
The prime minister said the centre would seriously examine Kerala's report that the state had not received any prior cyclone alert, according to the release.
The cylone, which had caused unprecedented damage in the state, had so far claimed 71 lives, Mr Vijayan said.
Efforts are still on to trace those missing, he added.
The chief minister also lauded the efforts made by the Navy, Air Force and Coast Guard who were involved in the search and rescue operations under the coordination of Home and Defence ministries.
Mr Vijayan had earlier met Union Home minister Rajnath Singh at New Delhi and submitted a memorandum for a central assistance of Rs 1843 crore.