A disc brake caliper for a rail vehicle comprises brake pad holders suspended—at either side of a brake disc to be braked—for movements only in a plane perpendicular to a substantially horizontal center-line of the caliper. Members of the caliper for transmitting movements from a brake unit to the brake pad holders are suspended from the vehicle via only elements of rubber-elastic material in an elastic joint allowing movements to a certain extent of said members in all directions. The elastic joint comprises at least one plate-shaped rubber-elastic element, which is substantially horizontally mounted in compression between a part for attachment to the vehicle and one of said members of the caliper.