Adrian Bose, 48, was the rider of a red and white Honda CBR 1100XX which was in collision with the coach on the B390, Copehill Down Crossing, near to Shrewton at around 4.15pm on Sunday, June 11.
No one else was injured in the incident and an investigation is ongoing.
Mr Bose was taken to Southampton General Hospital by Air Ambulance where he passed away on Monday, June 12.
His family have issued a moving tribute, which reads: “Adrian was a devout Christian and his faith formed the foundation of his life and he tried his utmost to live by this.
“He was trusting and truthful, with a sharp sense of humour. Adrian had several passions; a keen interest in medical care, he had wanted to be part of the Ambulance service, or train as a Paramedic.
“He was also passionate about animals and cared strongly about their welfare. His family and friends will miss him deeply."
Robin Murray RobinNewsWilts