There are no reports of oil spilling into the Gulf, Houston's KHOU reports, as the platform on fire is a shallow water platform owned by Black Elk Energy Offshore.
Four injured workers were airlifted to a hospital in Jefferson Parish, Louisiana, while two are missing. Early reports indicated two people had died, but the Coast Guard later reported no casualties.
Three of those hospitalized are reportedly in critical condition, according to WVUE's Chris Finch. The fire started about 9:15 a.m. local time, 30 miles southeast of Grand Isle, Louisiana.
As of 10:30 a.m., the fire had been extinguished.