The shooting began around 6.15am at Naval Air Station Corpus Christi.
The shooter tried to speed through a gate at the base in a vehicle, but security personnel put up a barrier in time to stop the shooting, US officials said.
The FBI is investigating the shooting as “terrorism-relatedâ€, FBI special agent Leah Greeves said at a news conference Thursday afternoon, and investigators were working to determine whether a second person of interest was at large in the community.
“We have determined that the incident this morning at the Naval Air Station Corpus Christi is terrorism-related,†Greeves said.