Hayden Lawson, Matt Bull and Sam Dunbavin beat Academy rivals Finn Begley, Torrin Begley and Joe Wright in the final at Burnham-on-Sea.
Along the way they had beaten off competition from Melksham, Wessex and a third Academy team.
Forty-four teams took part in the competition, with nine from the Academy.
In the under-15 girls, Immy Dawes and Holly Paddon lost by one point against a strong team from King Alfred's School, Highbridge.
Head coach Denise Austin was extremely proud of all the players, some of whom had only been playing for just over a month.
An SWVA Satellite event will be held at North Devon College, Barnstaple, on Saturday.
Great Britain beach volleyball player Lucy Boulton will hold a coaching session at 9.30am, with the competition following from 10.30am to 1.30pm.
The event is open to local youngsters who must first register. Entry forms and information are available by e-mailing denise@ beachvolleyballinc.com or calling 07773 382305.