Some people believe that there are hypoallergenic cat breeds. However, there is no such thing as a completely hypoallergenic cat. All cats produce some level of dander, and people can be allergic to proteins found in a cat's saliva, urine, and skin secretions in addition to dander.
That being said, some cat breeds are known to produce less dander and may be less likely to cause allergic reactions in sensitive people. For more information check out "What are the Best Breed of Cats for People with Allergies" in our resource center.