YES, it is finished.
The anime finished after the manga:
Anime finished: April 25, 1990
Manga finished: January 01, 1980
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 - Base
Release date: October 05, 1973
Anime - Adaptation
Release date: July 25, 1988
Anime - Adaptation
Release date: October 25, 1989
Ace wo Nerae! follows Hiromi Oka, a young girl who is inspired to join her high school tennis club.
She quickly finds herself under the demanding tutelage of a new, strict coach, Munakata.
Despite facing incredibly tough training and pressure from her peers, Hiromi shows potential.
Hiromi strives to become a successful tennis player, navigating the challenges of rigorous training and internal club dynamics.