A statement by Global Village, reported by the Khaleej Times, said: "Due to the extreme and unexpected weather conditions, an element of the Indian pavilion entrance fell. As a result of this accident, 14 people were taken to hospital where one of the injured later died."
The attraction was closed on Sunday because of the bad weather.
Dubai Police registered more than 170 traffic accidents caused by the rain, 21 of which were serious.
More rain and thunderstorms are forecast for the UAE on Monday.