Culver City, California: A teenage boy who killed two classmates and wounded three others at a southern California high school on his birthday before shooting himself has died of his wounds in hospital, the Los Angeles County Sheriff's office said.

"Nathaniel Tennosuke Berhow, 16, a Junior at Saugus High School, was being treated for a self-inflicted gunshot wound to the head, when he succumbed to his injuries. His mother was present at the time of his passing," the sheriff's office statement said.

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The boy was carrying out a deliberate plan when he opened fire at his high school in Santa Clarita about 65 kilometres north of Los Angeles on Thursday, a local sheriff said, but authorities said they had no clues about what sparked the bloodshed.