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BTZ black holes provide excellent frameworks for studying theories that areat the interface of classical and quantum gravity. In this paper we couple theRiemannian spacetime with the bumblebee field, in the background of massivegravity, which produces the violation of spontaneous Lorentz symmetry. In thissetup we construct a large family of static vacuum BTZ black hole solutions. Westudy the asymptotic behaviour of curvature invariants and show that ourresulting solutions describe asymptotically AdS (2+1)-dimensional BTZ blackholes with negative cosmological constant. For positive cosmological constantthey are de Sitter. Thermodynamics of these black holes is also analysed.

Lorentz symmetry violating BTZ black holes in massive gravity