YES, it is finished.
The anime finished after the manga:
Anime finished: July 01, 2016
Manga finished: April 25, 2016
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
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 - Prequel
Release date: November 09, 2014
Anime - Base
Release date: January 10, 2015
Anime - Sequel
Release date: January 08, 2016
Ansatsu Kyoushitsu revolves around Class 3-E, a group of underachieving students at Kunugigaoka Middle School. They're given a seemingly impossible task: assassinate their new teacher, Koro-sensei, an octopus-like being who destroyed part of the moon and threatens to destroy Earth within a year.
Despite his terrifying abilities, including superhuman speed and resilience, Koro-sensei is determined to be a fantastic teacher. He aims to improve their academics and teach them assassination skills, believing in their potential to return to the main campus.
The series follows Nagisa Shiota and his classmates as they struggle to find Koro-sensei's weaknesses and improve their skills, balancing their studies with the high-stakes mission of saving the world.