ยง 366. Companion animal stealing. It shall be unlawful for any person:
1.  To remove or cause to be removed the collar, identification tag or
  any other identification by which the owner may be ascertained from  any
  dog, cat or any other companion animal as defined in subdivision five of
  section three hundred fifty of this chapter, or to entice any identified
  dog,  cat  or  other  such  companion animal into or out of any house or
  enclosure for the purpose of removing  its  collar,  tag  or  any  other
  identification, except with the owner's permission;
2.  To entice, seize or molest any companion animal, while it is being
  held or led by any person or while it is properly muzzled or  wearing  a
  collar  with an identification tag attached, except where such action is
  incidental to the enforcement of some law or regulation;
3. To transport any companion animal, not lawfully in his  possession,
  for the purpose of killing or selling such companion animal.
Any  person  violating  any  of  the  provisions of this section, upon
  conviction thereof, shall be  punished  by  a  fine  not  exceeding  one
  thousand  dollars,  or  by  imprisonment not to exceed six months, or by
  both.
Structure New York Laws
351 - Prohibition of Animal Fighting.
353 - Overdriving, Torturing and Injuring Animals; Failure to Provide Proper Sustenance.
353-A - Aggravated Cruelty to Animals.
353-B - Appropriate Shelter for Dogs Left Outdoors.
353-C - Electrocution of Fur-Bearing Animals Prohibited.
353-D - Confinement of Companion Animals in Vehicles: Extreme Temperatures.
353-E - Companion Animal Grooming Facilities; Prohibited Practices.
353-F - Companion Animal Piercing and Tattooing Prohibited.
354 - Sale of Baby Chicks and Baby Rabbits.
356 - Failure to Provide Proper Food and Drink to Impounded Animal.
357 - Selling or Offering to Sell or Exposing Diseased Animal.
358 - Selling Disabled Horses.
358-A - Live Animals as Prizes Prohibited.
359 - Carrying Animal in a Cruel Manner.
359-A - Transportation of Horses.
360 - Poisoning or Attempting to Poison Animals.
361 - Interference With or Injury to Certain Domestic Animals.
362 - Throwing Substance Injurious to Animals in Public Place.
363 - Unauthorized Possession of Dogs Presumptive Evidence of Larceny.
364 - Running Horses on Highway.
365 - Clipping or Cutting the Ears of Dogs.
366 - Companion Animal Stealing.
366-A - Removing, Seizing or Transporting Dogs for Research Purposes.
367 - Leaving State to Avoid Provisions of This Article.
368 - Operating Upon Tails of Horses Unlawful.
369 - Interference With Officers.
370 - Protection of the Public From Attack by Wild Animals and Reptiles.
371 - Powers of Peace Officers.
372 - Issuance of Warrants Upon Complaint.
373 - Seizure of Animals Lost, Strayed, Homeless, Abandoned or Improperly Confined or Kept.
375 - Officer May Take Possession of Animals or Implements Used in Fights Among Animals.
376 - Disposition of Animals or Implements Used in Fights Among Animals.
377 - Disposal of Dead Animals.
377-A - Spaying and Neutering of Dogs and Cats.
378 - Unlawful Tampering With Animal Research.
379 - Prohibition of the Selling of Fur, Hair, Skin or Flesh of a Dog or Cat.
380 - Use of Elephants in Entertainment Acts.
380*2 - Examination of Seized Animals or Animals Taken Possession Of.
381 - Prohibition of the Declawing of Cats.
382 - Prohibition of the Slaughter of Race Horses and Race Horse Breeding Stock.
383 - Examination of Seized Animals or Animals Taken Possession Of.