Mr Blair said the puppies were in good health and were "quite vocal" when found.
"It's obviously very distressing for them. In some ways these are the lucky ones, they were found. There's bound to be others not so fortunate."
There were specific charges for abandoning animals with no food or water but Mr Blair said there was little information around who dumped the puppies.
Mr Blair said Tauranga SPCA received reports of dumped animals every two to four weeks.
"It's fairly common and at this time of year it's coming into kitten season. We will see more of kittens being dumped rather than puppies."
The SPCA offers free or discounted de-sexing of animals and encourages animal owners who cannot care for their pet's offspring to de-sex them.
"We know times are tough but the responsibilities are on the owners. We are not always able to take every other animal but if people are thinking about dumping animals, they can call us and we can try to work out something."
Foster parent Jackie Baxendine said said the puppies were quite timid when she took them several days ago.
However, they were now coming out of their shells and running around Ms Baxendine's 20-acre Oropi property. "These ones are already out in the paddock exploring. I just let them run around. They follow me, then run back to the kennel.
"It's just a shame, what people do [dumping animals]."
Ms Baxendine said the puppies, which were "just so cute" were already the centre of attention with her family and friends but she hoped more permanent homes would be found for them soon.