To bring a dog or cat into the U.S. you should have a health certificate from a veterinarian. There is no special form for this certificate. Such a certificate is usually required by the airlines, so you must check with the airlines shipping your pet for any time limitations or other details such a size limitations, type of animal cage, etc. Your dog or cat will need a rabies certificate indicating receipt of an anti-rabies vaccination more than one month before your visit but less than one year. The customs agents will verify that the animal has a clear identification indicating that the animal is the one mentioned on the certificates. But check before you go, as laws sometimes change. Visit  usembassy.gov  to find the U.S. Embassy or nearest U.S. Consulate in your home country.