NO, it is not finished.
The anime finished before the manga:
Anime finished: July 01, 2018
Manga finished: January 09, 2020
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Anime - Base
Release date: January 10, 2014
Anime - Sequel
Release date: October 08, 2017
Anime - Sequel
Release date: April 08, 2018
Hoozuki no Reitetsu offers a comedic glimpse into the surprisingly bureaucratic structure of Hell.
The story centers around Hoozuki, the chief deputy to King Enma, who is essentially the brains behind the smooth operation of the afterlife.
Each episode generally presents self-contained situations and problems that Hoozuki must solve, often involving interactions with figures from Japanese folklore, other mythologies, and the various denizens of Hell.
Hoozuki's calm demeanor and sadistic methods are constantly tested as he manages the day-to-day chaos and bizarre challenges of his job.
It's a workplace comedy, but the workplace is Hell, and the employees are demons and other mythical beings.
Think of it as a dark and often absurd take on office life, with a healthy dose of Japanese mythology.