The warehouse, operated by third-party supplier Yusen Logistics Co, stored spare parts and accessories used in a factory on the outskirts of Chennai.
Nissan was unable to provide details on any possible impact on production as the Japanese carmaker was awaiting further details on the fire damage, a spokeswoman said.
"We are working closely with emergency services to bring the situation under control and all staff remain safe," the spokeswoman told Reuters.
The alliance factory builds models for India's domestic car market and for export at the plant.
© Thomson Reuters 2013