  Rarita-Schwinger approach to description of a massive spin 3/2 particle is
investigated in static coordinates of the de Sitter space-time. The general
covariant system, derived from the relevant Lagrangian, is presented as a main
wave equation and additional constraints in the form of first order deferential
and algebraic relations. With the use of an extended Schr\"{o}dinger tetrad
basis and technique of Wigner D-functions the separation of the variable
performed. 16 radial equations reduce to 8 ones through diagonalization of
$P$-inversion operator for spin 3/2 field.
