Mandatory desexing of cats and dogs has been recommended by the South Australian Citizens' Jury after more than 10,000 unwanted pets were put down in 2014.

The jury, made of randomly selected citizens, has released its final report for the State Government and recommended compulsory desexing of dogs and cats, with sales and transfers banned unless they have been neutered.

It also recommended a trial of a practice known as trap, neuter, return, in an effort to manage feral and colony cats in urban and rural areas.

The jury said there was a higher chance the community would embrace the approach rather than the indiscriminate baiting and culling of unowned cats.

SA Environment Minister Ian Hunter said about 100,000 animals were put down each year Australia-wide.

"This is a huge waste of life of our companion animals," he said.

"Any system that purports to manage dogs and cats and companion animals has to take into account the 10,000 animals destroyed every year [in SA] because we can't control the system."

The jury said it wanted to address the "distressing reality of puppy farms and the annual kitten tsunami".

It said each year shelters were overwhelmed by people whose cats had unwanted litters.

Other recommendations included regulating the sale of animals from pet stores, including banning the sale of specifically bred puppies and kittens.

This would cut off the main outlet for puppy and kitten farmers, the jury said, while mandatory registration and licensing of dog and cat breeders would also be recommended.

"One of the recommendations is to consider having pet stores re-home animals from animal welfare leagues and RSPCAs, so abandoned animals, and that's to deal with the supply situation," Mr Hunter said.

The jury said it would also like to see more dogs and cats allowed in rental properties.

It recommended the implementation of a regulated pet bond for rental properties, on top of a regular bond, with a top limit set to about 20 per cent to 25 per cent of the regular bond.

"About 30 per cent of the total number of animals surrendered to shelters actually comes about because people are moving accommodation and can't take their pets with them," Mr Hunter said.

"The jury is suggesting a pet bond on top of the regular bond.

"More house owners or flat owners will then consider allowing a resident to come in with a pet because they've got another bond on it, to be assurity, I suppose, against any damage."

The jury also recommended a centralised system of microchipping that would be supported by a central database and remove the duplicative system of council registration.

RSPCA, Opposition supportive of recommendations

Mr Hunter said he would take the report to the Government for consideration.

RSPCA chief executive Tim Vasudeva said greater oversight of dog and cat breeders was a welcome recommendation.

"At the moment there really is no oversight, pretty much anybody can breed whatever cats and dogs they want," he said.

"[Currently] it's only if they're accidently caught by somebody who dobs them into the RSPCA that there are any consequences for doing the wrong thing."

Opposition spokeswoman Michelle Lensink supported recommendations by the jury and hoped the Government would introduce the changes.

But she said reform should have come sooner.