  We present a proposal to include Lorentz-violating effects in gravitational
field by means of the Finsler geometry. In the Finsler set up, the length of an
event depends both on the point and the direction in the space-time. We briefly
review the bumblebee model, where the Lorentz violation is induced by a
spontaneous symmetry breaking due to the bumblebee vector field.The main
geometrical concepts of the Finsler geometry are outlined. Using a Finslerian
Einstein-Hilbert action we derive the bumblebee action from the bipartite
Finsler function with a correction to the gravitational constant.
