The invention relates to an arrangement for the damped bearing of a rotor shaft (1) of an electric machine. The invention also relates to an electric machine comprising a rotor shaft (1) and at least one such arrangement. The invention further relates to a method for the damped bearing of a rotor shaft (1) of such an electric machine. In order to provide an alternative for the damped bearing of a rotor shaft (1), it is proposed that the arrangement has a bearing unit (2), which can be arranged between the rotor shaft (1) and a housing (3) of the electric machine, and a damping element (4), which can be arranged between the bearing unit (2) and the rotor shaft (1) or between the bearing unit (2) and the housing (3), wherein the damping element (4) comprises a mesh of metal wire (5).