The Pug-A-Poo is a hybrid dog, also known as a designer dog. The Pug-A-Poo is a cross between the Poodle and the Pug. It is not always possible to determine the characteristics, temperament or traits of a mixed breed. You will likely find the Pug-A-Poo has a combination of the characteristics found in both the Poodle and the Pug.