  We study the displacement memory effect and its connection with the
extended-BMS symmetries near the horizon of black holes. We show there is a
permanent shift in the geodesic deviation vector relating two nearby timelike
geodesics placed close to the horizon of black holes, upon the passage of
gravitational waves. We also relate this memory effect with the asymptotic
symmetries near the horizon of asymptotic black hole spacetimes. The shift of
the relative position of the detectors is shown to be induced by a combination
of BMS generators near the horizon. The displacement memory effect near the
horizon possesses similarities to the same obtained in the far region.
