Officials sad five people are in critical condition at University Medical Center, two others are being treated at an area hospital.
The rig, according to The New Orleans Advocate, is operated by CLOVELLY Oil.
The fire occurred on Sunday around 8 p.m.
The platform, located in Jefferson Parish, is used for the transfer of oil, said Chief David Tibbets of the East Bank Consolidated Fire Department.
The cause remained unknown, and authorities said it was too soon to tell whether any oil had spilled. "Bayou Gauche Fire Department and a good Samaritan vessel are on scene fighting the fire, which has been reduced substantially".
The Coast Guard and the Lake Pontchartrain Basin Foundation will both conduct water quality evaluations, according to a press release from Jefferson Parish.
No fatalities had been reported Sunday night.
The representative of the police Department of the city of Kenner Brian McGregor said that it is only the confirmed number of casualties, but their number may increase.
Following the initial report, Sector New Orleans launched a Coast Guard Station New Orleans 29-foot Response Boat-Small boatcrew, a Station New Orleans 45-foot Response Boat-Medium boatcrew, and a Coast Guard Air Station New Orleans MH-65 Dolphin Helicopter air crew.
There is nothing "that's going to hurt any homes at this point", he said.
Andrew Love, who lives about 10 blocks away from the explosion, told The Times-Picayune that his "house actually shook".
"I heard a big boom", WWL's Emile Gauthier said. "I thought it was a vehicle accident or something".
"We believe there's still one unaccounted for, although we're dealing with subcontractors and we're trying to get names of everybody to make sure", Lopinto said. Stay with us for the latest details.