The American Hairless Terrier is the only hairless dog breed indigenous to the United States.   The American Hairless Terrier is a curious, spunky, and intelligent dog breed. They can thrive in larger family homes with kids or with active urban dwellers in apartments or condos. If you’re looking for a small dog who enjoys snuggling, being goofy, and alerting you to potential dangers, the American Hairless Terrier may be a perfect fit.