Osvaldo Vasquez said he and his wife had placed the two puppies for sale on Craigslist.
The person who responded said she'd be coming by herself to look at them, he said. But she ended up bringing two other men with her.
They looked at the puppies and then there was a struggle as the two men were able to grab the puppies and run away.
The family was able to detain the woman and call police.
Officers arrested the woman but they are still looking for the two men - and the puppies.
"We're very sad now," Vasquez said. "We're trying to show other people, to help us find our puppies."
Vasquez has posted more information and additional photos of the suspects here on Facebook.