36-year-old Danny Craze has been unanimously found guilty of killing 26-year-old Louis Craze (pictured) in November.
Officers were called to an address in Bishop Fox Way after receiving a 999 call reporting that a man had been stabbed inside a house.
Louis died at the scene from a single stab wound to the heart.
Danny attempted to argue that his brother walked into the knife that Danny was holding to protect himself.
However, witness testimony, CCTV footage, digital and forensic evidence proved that this was not the case.
Paying tribute to Louis, his family said: “The only word to describe how the family is feeling is heartbroken. We would ask that people appreciate that this is a sad and tragic time for the family and that we are left alone to grieve for Louis in peace whilst we try to understand what has happened.”
Senior Investigating Officer, Detective Chief Inspector Gareth Hicks, said: “Firstly, my thoughts and condolences are with the family of Louis Craze who have been left devastated by the death of Louis and the circumstances surrounding it.
“A senseless act of violence not only took the life of Louis but also rippled out to affect his loved ones and the local community.
“This has been a very complex and sensitive case, but I would like to thank the investigation team for working tirelessly to ensure we had a comprehensive case to put to the jury and to get justice for Louis.”
Danny Craze will be sentenced at Lewes Crown Court on Monday.