A fourth bird was found strangled to death, police said, adding that the birds were killed inside their enclosure by an intruder who sneaked into the zoo between Monday night and Tuesday morning.
The zoo counts several flamingos among its menagerie of animals that includes rhinoceros, lions, elephants, giraffes and scores of different birds, insects and reptiles.
The zoo said three of the birds killed were more than 30 years old. The fourth was a Chilean flamingo, a species native to South America.
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Posters for the play "Adam and Eve. Life after Paradise" with pictures of dancers Arsen Aghamalyan and Oksana Vasilyeva were banned in the city of Tver, Central Russia