Dogs that do not shed also do not exist. All dogs shed to some extreme. However, certain breeds do shed very little (just as all people with hair shed at least a little), making them perfect companions to those with allergies to pet dander.
Hairless Breeds
Chinese Crested and Peruvian Inca Orchid breeds have hairless bodies. In cold temperatures, it is extremely important that the dogs be dressed for warmth. On sunny days, sunscreen is critical to prevent skin cancer. Both breeds are small and non-shedding. Only their heads and tails have hair, so required grooming is minimal.
Poodles
Poodles top the list of dogs that do not shed. Instead of fur, poodles grow hair that requires a haircut every six weeks. Excessive shedding is never a problem with poodles. Poodles also offer variety because they come in three sizes: standard, miniature and toy. If you prefer a larger dog, a standard poodle is about the same size as a lab. For those in smaller apartments, toy and miniature poodles are excellent choices.
Shih Tzu
A Shih Tzu is family-friendly and incredibly loving. Shih Tzu dogs shed very little, but do need periodic haircuts if you want a coat that is easy to maintain. With longer fur, you will need to brush the coat daily to avoid tangled, knotted hair.
Water Dogs
Portuguese Water Dogs and Irish Water Spaniels love water. Their super-curly coat repels water. If you love larger dogs that do not shed, water dogs make great companions. Their hair grows quickly, so they will need monthly grooming to prevent matted fur.