The under-15s team booked their place in the final thanks to a 60-43 win against Manchester school St Peter’s RC in the semi-final played in Wolverhampton.
Strong team play and good ball movement saw them walk away with their first national title, as they won the final 103-39.
The under-16s beat Dudley school Castle High 93-79 in the semi-final at Oxford.
Trinity’s tough defence and depth on the bench proved too much for South London School Lampton.
Gossops Green-based Trinity picked up their third straight national title with a 97-76 win in the final.
Coach Karl Youngman said: “We’ve had another good season and I’m really happy with the progress the boys have made.
“What I’m most proud about this weekend was the depth on display from both age-groups, with multiple players finishing with double digit points and everyone getting on the scoresheet in the u15 game.”
He added: “This really embodies the principles that we build from.
Elsewhere the schools Sixth Form basketball academy competed in the Under-19s Academy Basketball League.
This was a newly-formed, invitation-only competition for basketball academies across the country.
The team had weekly league fixtures and had a successful first season, finishing fourth in the league with only one under-19s player on the roster.
Trinity then went on to make the play-off quarter-final, where they lost to the eventual play-off winners.
The under-17a team also made it to the National Schools semi-final, after taking the crown of the best team in the South.
Trinity faced a tough City of London team in the semi, but competed with them for three quarters of the game.
That was impressive considering the squad contained only three under-17s.