Humane Care for Primates Act of 2013 - Directs the Secretary of Health and Human Services (HHS) to promulgate a final rule revising federal regulations regarding the importation of nonhuman primates (i.e. chimpanzees, gorillas, orangutans, macaques, and numerous other species) to expand the categories of uses for which nonhuman primates may be imported and distributed to include live nonhuman primates imported into the United States by a certified primate sanctuary for purposes of providing lifetime shelter and care.

Requires such rule to establish a process for the certification of facilities as primate sanctuaries for purposes of the importation, shelter, and care of nonhuman primates.