Zveri was formed in mid 2002 by Roman Bilyk,[1] the lead singer of the band, better known as Roma Zver'.

He was soon joined by Maksim Leonov on guitars, Kostya Labezkiy on the bass, Kirill Antonenko on keyboards and Misha Kraev on the drums and the group began work on their debut album Golod (Hunger), released in February 2003.

This album contained many of the group's best-known songs, such as Dozhdi-Pistolety (Rain-Guns), Dlya Tebya (For You) and Prosto Takaya Sil'naya Lyubov' (Simply such a strong love).

[3] Vsyo, chto kasaetsya (All, that is about) was released as a single from it and standout tracks include Yuzhnaya Noch' (Southern Night) and Napitki Pokrepche (Stronger Drinks).

Zveri song "Kvartira" is featured in the Grand Theft Auto IV video game.