The tremor is feared to have set off a chain of high waves which could sweep across the Pacific Ocean and hit areas as far away as Hawaii, California and even Australia.
Lost executive producer Carlton Cuse took to his Twitter.com page after the news broke to make sure the cast and crew were protected.
He wrote, "To ALL on the Lost crew - responding to the Tsunami warning - safe refuge is available at the studio. Waves to reach Hawaii just after 11am."
He later issued a statement to E! Online, revealing all the Lost workers are safe.
Cuse says, "All our cast and crew is accounted for and safely away from coastal area. Jorge Garcia continues to thrash me in Scrabble via iPhone from Ken Leung's house. Our entire team in Hawaii appreciates all the positive energy being sent their way."
Daniel Dae Kim, who plays Jin in the hit show, cancelled a business trip to Los Angeles after the tsunami warnings and has now spoken out to assure fans of his safety: "My family and I are doing fine. We've moved to high ground and are staying with friends who generously opened their home to us. All that's left to do is wait. Heartfelt thanks to everyone who sends their thoughts and good wishes."