Nekomata.

The manga is set in Edo during the Edo era, and centers on Jinbee, a thief catcher and whispered boss of the Edo streets. Renowned as handsome and reliable, his only flaw is a tendency to talk to himself too much. However, he has a secret. Jinbee's house is also home to a two-tailed cat spirit nekomata, and this is the story of their life together...