  In this paper, we study the linearized gravity theory in the near horizon
region of the Schwarzschild black hole in four dimensional spacetime. Under the
Newman-Unti gauge, we derive the most general near horizon symmetry and
solution space without any near horizon fall-off condition. There are four
towers of surface charges that are generic functions on the horizon associated
to the near horizon symmetry. With suitable near horizon fall-off conditions,
we reveal a soft graviton theorem from the Ward identity of the near horizon
supertranslation in both coordinates space and momentum space.
