The 14 year old who was a pupil at St John Lloyd Catholic Comprehensive, has been described as 'charismatic, wonderful and dearly loved' by his dad Byron.
Dyfed-Powys Police attended Bradley's school on Wednesday, to assist staff and paramedics following concerns for his welfare.
He passed away in hospital. The incident is not being treated as suspicious.
In a statement released by Dyfed Powys Police Mr John said: "We as a family are devastated to lose Bradley.
"He was an accomplished horse rider and founding member of the Three Counties Bloodhounds, who hunt the scent of a human runner.
"Bradley was the absolute centre of our world.
"We would like to thank everyone for their support at this horrific time. It has meant so much to the whole family."
Police are working with partner agencies to establish the circumstances that led to Bradley’s death.
Specialist officers are supporting the family and working with the school and the local authority to support the children and staff affected by what happened.
Inspector Chris Neve said: "Bradley’s death has shaken the local community and on behalf of Dyfed-Powys Police I offer my deepest sympathy to his family.
"We are following-up all possible lines of enquiry to establish a picture of what happened in the lead-up to Bradley’s death. Specially trained officers are supporting the family at this tragic time and working with the school to support his peers."