Wikipedia
Shih-poo
The Shih-poo is a small domestic dog. It is a crossbreed between a Poodle and a Shih Tzu. The name Shih-poo is a portmanteau of the two breed names.
Legitimate breed associations such as the AKC, the UKC, and the CKC, do not recognize the Shih-poo, or any other designer cross, as a breed in its own right. However, some major kennel clubs do accept registration of crossbreed and mixed-breed dogs for performance events such as agility and obedience.