Supt Dominique Ioannou said: “We understand this news is incredibly distressing for the local community.
“Please be assured we have launched a full investigation to establish exactly what happened.
“This is being treated as an isolated incident and we are not seeking anyone else.”
Maggie Wearmouth, Mayor of Seaford, said she was “shocked and saddened by the tragic loss of a young life”.
She added: “Our thoughts and prayers go out to the family and friends of the victim.
“Our thanks go to all those in the emergency services who were involved.”
James MacCleary, MP for Lewes, said: “My thoughts are with the family of the young man whose life has been cut so short.”