NO, it is not finished.
The anime finished before the manga:
Anime finished: December 25, 2008
Manga finished: April 19, 2014
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 03, 2008
Anime - Sequel
Release date: October 02, 2008
Rosario to Vampire tells the story of Tsukune, an ordinary high schooler who accidentally enrolls in Youkai Academy, a school for monsters disguised as humans.
The academy's strict rule is that any human discovered on campus must be eliminated. Tsukune, oblivious to the danger, befriends Moka, a beautiful girl who turns out to be a vampire.
Driven by his attraction to Moka, Tsukune decides to remain at the monster school, navigating the perilous environment and dealing with a host of other attractive but dangerous creatures.
The anime focuses on Tsukune's experiences, romantic entanglements, and comedic misadventures as he tries to survive in a school filled with supernatural beings while keeping his human identity a secret.