Roy Gross, chief of the Suffolk County Society for the Prevention of Cruelty to Animals, called the June 8 incident in Amityville "a horrible act of animal cruelty."
The 9-week-old black kitten, named Beetle, suffered broken legs.
Gross said that the male cat was treated at the North Shore Animal League in Port Washington and is recovering with a foster family.
The suspect could face felony animal cruelty charges.
Anyone with information is asked to call the SPCA at 631 382-7722. All calls will be kept confidential.