  A complete system of solutions for a field with spin 1 in the space of
constant negative curvature, Lobachevsky space H_{3}, has been constructed. The
treatment is based on 10-dimensional Duffin-Kemmer formalism extended to curved
model according to tetrad method by Tetrode-Weyl-Fock-Ivanenko, and specified
in horospherical coordinates. The solving procedure substantially uses a
generalized helicity operator. The Lobachevsky geometry acts along z axis as a
medium with simple reflecting properties. Restriction to massless case is
performed as well.
