This paper mainly studies the singularities of Gauss Map of pedal hypersurface in R
n +1
. It contains the
geometry of pedal hypersurfaces in R
n +1
and their Gauss maps. The singularity of Gauss map of the pedal
hypersurface using the rank of jacobian matrix of Gauss map is given and classified. The sets of singularities and its
graphs under the Gauss map are plotted.