Forks Hospital is where Carlisle, Dr. Gerandy and Dr. Snow work.
Twilight
Main article: Twilight
In Twilight, Bella, Edward and Tyler are taken to the hospital after Tyler nearly hits Bella with his van. Bella has to wear a neck brace, which she finds humiliating.
After she is attacked by James, Bella ends up in the hospital once more, with four broken ribs, a broken leg, cracks in her skull, and extensive blood loss and bruises. Her leg is put in a cast, she is bandaged and put on a IV and has blood transfusions, which Edward doesn't like because it makes her smell different.
New Moon
Main article: New Moon
In New Moon, Carlisle offers to take Bella to the hospital to bandage her arm, but she refuses.
Later, after crashing her motorcycle, Bella is taken to the hospital and needs seven stitches on her forehead. Jacob holds her hand while Dr. Snow sews.
When the Cullens come back, the hospital eagerly welcomes Carlisle back, delighted that Esme had "found life in L.A. so little to her liking".
Trivia
In the movie, there is a sign saying "Sleep Disorder CTR." in the hospital.