Animal welfare groups in New South Wales say the deaths of dogs at a Dapto Greyhound Race meeting last week are unacceptable.

Three greyhounds had to be put down at the event, with one dog suffering a broken back and another a broken neck.

The secretary of the Dapto Greyhound Racing Club, Paul Mack, says the track is one of the safest in the state.

The Club says last year, only four of 5000 dogs had to be euthanised.

But Tim Vasudeva from the state's Animal Welfare League says no dog is safe in the racing industry.

"It's all relative isn't it," he said.

"You've got three dead dogs at the end of the day, so it doesn't sound particularly safe to me.

"And on top of that, of those ones that are racing that day, you have five times that who are bred to race who've been killed because they're not fast enough.

"So you're not just talking about what we would consider a fairly cruel industry in terms of the welfare of the animals.

"It's not just the racing, but also the breeding and the destruction of non-racing dogs."

Mr Vasudeva says no animal should have to die for sport.

"I think one's appalling," he said.

"If you can't manage an industry where 80 or 85 out of every hundred dogs bred get killed because they're not fast enough, well I think it's an appalling industry.

"And I don't really care, from my perspective, how much money is in it."