According to Linnaen Taxonomy, the animal family is divided as follows:

Classis 1. MAMMALIA
Classis 2. AVES
Classis 3. AMPHIBIA
Classis 4. PISCES
Classis 5. INSECTA
Classis 6. VERMES

Humans fall into the mammalian class.

http://en.wikipedia.org/wiki/Linnaean_taxonomy