This includes a Commodore rank officer - equivalent to a Brigadier in the Army.
Two Navy officers were killed in the fire and some others were hospitalised.
Mr Parrikar said in his written reply in the Rajya Sabha that the report of a Board of Inquiry set up to investigate the accident has been submitted to the Naval headquarters and disciplinary action has been initiated at the Western naval Command headquarters against the seven officers.
The Sindhuratna fire on February 26 came after a series of mishaps involving the Navy's assets and the then Navy Chief Admiral DK Joshi had resigned soon after owning moral responsibility.
An early investigation into the Sindhuratna fire had established that the fire was caused due to problems in the cables of the vessel.
Earlier, speaking to NDTV, Navy chief Admiral Robin Dhowan had indicated that standard operating procedures were not followed leading to explosion on board INS Sindhurakshak, in which 18 sailors had died.