  Inspired by the recent proposal of soft hair on black holes in Phys. Rev.
Lett. 116, 231301 (2016), we have shown that an isolated horizon carries soft
hairs implanted by electromagnetic fields. The solution space and the
asymptotic symmetries of Einstein-Maxwell theory have been worked out
explicitly near isolated horizon. The conserved current has been computed and
an infinite number of near horizon charges have been introduced from the
electromagnetic fields associated to the asymptotic $U(1)$ symmetry near the
horizon, which indicates the fact that isolated horizon carries a large amount
of soft electric hairs. The soft electric hairs, i.e. asymptotic $U(1)$
charges, are shown to be equivalent to the electric multipole moments of
isolated horizons. It is further argued that the isolated horizon
supertranslation is from the ambiguity of its foliation and an analogue of
memory effect on horizon can be expected.
