What anime is this character from?

This is Yato, the protagonist of Noragami. Here is an image from his character information page on the anime's official website:

The characters depicted in the picture are blue-eyed Yato (holding the sword) and red-eyed Yukine in the reflection in the sword, two of the tri-tagonists from the anime series Noragami.

The image itself is an original work by fan-artist Haru titled 唯一無ニ ("the only one")

This is two characters from Noragami, superimposed.

The primary character depicted, who has black hair, blue eyes, and a ragged bib, is Yato (as mentioned by other answers).

In addition, the sword's reflection shows Yukine, who has blond hair, red eyes, and a (non-standard compound) kanji tattoo of sorts on his collarbone. Here's an image showing these physical traits:

The sword itself is also Yukine, in a way - several of the characters in this anime have both human-form and weapon-form manifestations, so it seems likely that the artist might have been trying to convey that duality by showing Yukine in the sword's reflection.