Rodeos had been banned in other places, including parts of the United States and on publicly-owned land in Auckland.
Circuses featuring exotic animals had been banned from council land in Dunedin, he told councillors.
That ban should be extended to include rodeos, and was a move that would win public support, he argued.
"I think there will be very few people who will disapprove of a ban," he said.
Mr Scott's plea came after he led a campaign by Safe (Save Animals From Exploitation), calling for members of the public to boycott the International Rodeo which was held at the stadium on November 17 last year.
However, the rodeo's production manager, Fred Doherty, said at that time no participants or animals had been involved in accidents during the five years the rodeo had been running.
New Zealand rodeos followed the National Animal Advisory Committee guidelines, and all animals were checked by veterinarians before and after rodeos, he said.
A opinion piece by Mr Scott arguing against the rodeo, published in the Otago Daily Times days before the event, also drew a rebuttal from United States rodeo announcer Kedo Olson, who argued the animals involved were athletes and well cared for.
The event drew a crowd of 7500 people - about half that hoped for - but organisers had indicated the rodeo was profitable and could return to Dunedin.
No animals or riders were injured during the event, Mr Doherty said.
However, Mr Scott told councillors yesterday that, without a ban, the organisers would face "continued and increased opposition from us".