• California mass shooting: Police name slain suspects
The shutdown was a rare example of a major US city closing its entire school district because of fears of an attack.
The decision also reflected lingering unease in the aftermath of the shooting that killed 14 people at an office holiday party two weeks ago in nearby San Bernardino. In LA, the threat came in the form of an email to a school board member.
Authorities in New York reported receiving the same "generic" 360-word email and decided there was no danger to schoolchildren. Mayor Bill de Blasio concluded the threat contained "nothing credible". He added: "It was so outlandish."
The shutdown abruptly closed more than 900 public schools and 187 charter schools attended by 640,000 students across Los Angeles. LA officials defended the move, with that city's police chief dismissing the criticism as irresponsible.
Police Chief Charlie Beck said: "It is very easy in hindsight to criticise a decision based on results the decider could never have known."