  Using the exact solution to Einstein equations of Compere and Long for the
Schwarzschild metric containing supertranslation field, we study the
near-horizon symmetries of the metric. We consider class of metrics with
supertranslation field depending only on a spherical angle $\theta $. After
reviewing the action of supertranslations preserving the static gauge of the
metric, we study general transformations preserving the near-horizon form of
the metric. We determine the asymptotic Killing vectors and calculate the
charge corresponding to the asymptotic symmetries preserving the form of the
metric at the horizon.
