We review particle-like configurations of complex scalar field, localized by gravity, so-called boson stars. In the simplest case, these solutions posses spherical symmetry, they may arise in the massive Einstein-Klein-Gordon theory with global U (1) symmetry, as gravitationally bounded lumps of scalar condensate. Further, there are spinning axially symmetric boson stars which possess non-zero angular momentum, and a variety of non-trivial multipolar stationary configurations without any continuous symmetries. In this short overview we discuss important dynamic properties