  Previously, Pahlavan, Rouhani and Takook have introduced a novel $N=1$
super-symmetric algebra in de Sitter space-time. This paper is an attempt to
build a proper $N=1$ super-symmetric field theory of classical level in the de
Sitter space. The generators, gauge transformations and different fields in a
5-dimensional ambient space notation are defined and corresponding super-space
and super-fields are introduced. Finally, the $N=1$ super-symmetry Lagrangian
in the de Sitter ambient space notation has been derived.
