The man who died is thought to be in his early 50s.
The other man, reportedly in his 20s, suffered spinal and leg injuries and was taken to Addenbrooke's Hospital in Cambridge.
An investigation into the accident is underway.
More top news
Head and neck injuries are the most serious injuries associated with trampolines and adult supervision is no guarantee of safety.
Spiders are able to travel across water like boats, scientists in London and Nottingham have learned.
‘It could have been us’ was a phrase I heard repeated many times today as British holidaymakers gathered in Sousse to remember the victims.