The invention relates to a superconductor bearing means for mounting a first bearing component (10, 11; 37) relative to a second bearing component (8, 9; 46; 62) in a non-contacting manner with the help of a magnetic force, a superconductor (17; 45) being associated with the first bearing component (10, 11; 37) and a permanent magnet arrangement (8, 9; 50; 65) being associated with the second bearing component (8, 9; 46; 62). According to the invention, a magnet device (20; 42), the strength and/or the orientation of the field of which is adjustable, as well as a control device (21; 38) for controlling the strength and/or orientation of the field of the magnet device (20; 42) are associated with the permanent magnet arrangement (8, 9; 50; 65) and/or the superconductor (17; 45) in order to influence a magnetic interaction between the permanent magnet arrangement (8, 9; 50; 65) and the superconductor (17; 45).