The family attraction features 31 animatronic, prehistoric beasts, several of which were knocked over or damaged in this week's storm.
The park said it will be open this weekend.
"However, due to the effects of the hurricane and our loaning our generator to the local residents of Secaucus, some of our dinosaurs do not have power," the park's website said. "All of our games, activities and shows will be running as usual. Bring your own snacks and lunch as concessions will not be open."