Technically, there aren't any breeds that don't shed, though there are dogs that shed less. Similarly, hypoallergenic dogs (that don't produce an allergy response), in the strictest sense, don't exist. However, a few breeds of dog shed less, and also produce less dander (dead, dried skin flakes) and allergens, making them the closest option to a non-shedding, hypoallergenic dog. The allergic reaction to a dog, according to the Mayo Clinic, results from the dander: the protein found in dog's urine and saliva sticks to the dander and is what triggers the allergic response.
The poodle is one of the most popular dog breeds: it is smart, active, and friendly, making it an ideal choice for many pet owners. Additionally, the poodle is available in three sizes: toy, miniature, and standard. The poodle's coat requires a fair amount of attention: regular grooming is necessary to maintain the coat's health and cleanliness. However, the breed sheds little and is an excellent choice if you have allergies.
The Chinese Crested breed is available in two varieties. Typically the Chinese Crested is almost hairless: it has tufts of hair on its head, tail, and paws. Owners of Chinese Crested dogs must take special care: without a coat to protect it, the animal is susceptible to sunburns and skin problems. The Powderpuff variety, less common, grows a long, silky coat, but like its hairless counterpart, sheds little and produces comparatively small amounts of dander.
Schnauzers are available in miniature, standard, and giant sizes. They are intelligent, active terriers that require regular exercise and training, but make wonderful companions. The schnauzer's hair is quite short, with less frequent (and less copious) shedding. Especially when in conjunction with a consistent grooming and brushing schedule, schnauzers are a strong option for those with allergies.
The Bichon Frise is an excellent companion dog, particularly for those living in a smaller house or apartment. Bichon Frises are small dogs, with a gentle disposition. Though they require daily exercise, they are less active than terriers and do well in most environments. Bichon frise, like most other dog breeds for those with allergies, have fur that continually grows, yet doesn't shed. As a result, the breed requires professional grooming on a regular and consistent basis to preserve coat health and avoid matting and knotting of the fur.