In addition to cats, this behavior is also characteristic of dogs. As in humans, snoring in puppies usually occurs when airflow is restricted in the nasal passages or throat. Another reason for your pet's snoring may be an allergy to dust or second-hand smoke. A hummingbird is not only one of the most beautiful birds in the world but also an animal that can snore. You will be surprised, but this shimmering green decorative bird snores to itself during deep sleep just like most people. Elephants can also snore, of which there are two types and they do it differently!