Officials at the Reachfields Stadium have sent their condolences to the 18-year-old forward's family and friends after what was described as a "tragic accident".
In a statement on their official website, the Cannons paid tribute to a player who had been tipped for the top and was looking forward to starting his first full senior season for manager Tim Dixon after successfully stepping up from the club's U18s side last November.
The club said: "All of us at Hythe Town FC are devastated at the news of the tragic death of Henry Fulcher in a road accident on Tuesday evening.
"Henry was one of the nicest people you could meet. He had the potential to go all the way to the top and we at Hythe had high expectations of him in what would have been his first full season at senior level.
"Our thoughts go out to his family and friends on losing someone so close to them at such a tender age."
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