The late Hotere, one of New Zealand's greatest artists, lived at Careys Bay for more than 40 years, and was also a scratch golfer and member of the Port Chalmers Golf Club.
The trophy in his name will be awarded to a deserving member of the club each year.
Bellamy (20) has a handicap of 1.6 and has won the senior club championships at Port Chalmers for the past two years.
''Winning the trophy means a lot to me, especially getting my name on it first,'' Bellamy said.
''I met Ralph a couple of times round at the bay but I didn't know him personally.''
Club captain Steve Walker felt Bellamy deserved to be the first winner of the trophy.
''Ryan's attitude on and off the course sets an example for others to follow,'' Walker said.
''A lot of our juniors look up to Ryan for inspiration.''
Bellamy represented Otago for the first time last year in an under-19 tournament in Cromwell.
He is working at a salmon factory in Dunedin but his goal is to become a golf professional.
''It will take a few years and I am pushing myself as far as I can. I am looking five or six years down the track.''
Bellamy started playing golf seriously at the age of 14, in his second year at Otago Boys' High School.
''My mates started and I found that I liked golf more than rugby and cricket,'' he said.
His golf improved rapidly under the direction of his coach, Bill Trewern.
The idea to honour Hotere's memory came from the Careys Bay Association, of which the artist was a member.
''At the last annual meeting, we decided to do something for him,'' association chairman Joseph Cecchi said.
Hotere's wife, Mary McFarlane, and daughter, Andrea Hotere, were happy with the decision, Cecchi said.
The trophy is made from an old totara railway sleeper because Ralph Hotere loved working with New Zealand timber.
''He was a scratch golfer and played for Otago a couple of times,'' Cecchi said.
''He loved his golf and helped young golfers with promise.''
