NO, it is not finished.
The anime finished after the manga:
Anime finished: January 01, 1989
Manga finished: January 01, 1968
... But 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: September 28, 1981
Anime - Adaptation
Release date: January 01, 1983
Ninja Hattori-kun tells the story of the Sanyo family, whose ordinary life is turned upside down when a young ninja named Hattori arrives from the mountains to live with them and experience regular school.
Hattori befriends Kenichi Sanyo, a boy his age, and together they navigate the challenges of school and everyday life while keeping Hattori's ninja identity a secret.
Along the way, Hattori is joined by his ninja companions, including his younger brother and a ninja dog, and they often spend time with Kenichi's friend, Yumeko.
However, their peaceful existence is constantly threatened by Kemumaki, a rival ninja from the Koga clan, and his mischievous cat companion, who seek to cause trouble and challenge Hattori.
The anime revolves around the adventures, friendships, and rivalries that arise as Hattori attempts to blend into normal society while protecting himself and his friends from the antics of the Koga ninja.