NO, it is not finished.
The anime finished before the manga:
Anime finished: March 16, 2005
Manga finished: August 19, 2010
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: April 02, 2004
Anime - Sequel
Release date: March 16, 2005
Tenjou Tenge follows the story of Souichiro Nagi and Bob Makihara, two tough guys eager to dominate their new high school, Toudou Academy.
However, Toudou Academy isn't just any school; it's a martial arts institution where fighting prowess is highly valued.
Their quest to become the strongest is quickly challenged by Masataka Takayanagi and Maya Natsume, powerful upperclassmen who easily defeat them.
Instead of backing down, Souichiro and Bob are even more determined to rise to the top, leading them to uncover the secrets and formidable fighters hidden within the academy.
The series explores their journey as they navigate the complex world of martial arts, rivalries, and the mysteries surrounding the Natsume family, including Maya's younger sister's unusual interest in Souichiro.