Tigress' parents are tigers and the biological parents of Tigress. Their only appearance so far was in a flashback sequence from Kung Fu Panda: Legends of Awesomeness. Their names were never mentioned. Their first appearance has them wearing what seems to resemble the same gold-colored jacket Tigress wears in Kung Fu Panda 3.
In the episode "Kung Fu Day Care", Tigress had a flashback of the night she was left on the doorstep of the Bao Gu Orphanage as baby girl. It remains unknown why her parents abandoned her at the orphanage.
It's not known whether they are still alive or not.