A navy statement said the incident happened during "routine flight operations" in the South China Sea, Reuters reported.
"The pilot safely ejected from the aircraft and was recovered via US military helicopter," it said. "The pilot is in stable condition. There were seven total Sailors injured."
The statement said three of personnel required evacuation to a medical facility in Manila and four were treated by on-board the carrier and released. It said all the personnel evacuated were assessed as being in stable condition.
The US navy said the cause of the "inflight mishap" was under investigation.
The F-35 jet is made by Lockheed Martin (LMT.N).
The Pentagon said two US Navy Carrier Strike Groups, led by the Carl Vinson and USS Abraham Lincoln began operations in the South China Sea on Sunday. The carriers entered the disputed sea for training as Taiwan reported a new Chinese air force incursion at the top of the waterway.