The invention relates to a balancing device, having a measuring system for determining the rotational unbalance of a test object, comprising a spindle unit with a spindle, which is intended to hold the test object and rotate it at a test rotational speed, and a spindle mounting, by which the spindle unit is movably anchored on the machine base, such that the spindle unit can oscillate in a predetermined measuring direction as a result of the unbalance forces occurring during the measurement operation, and at least one sensor, which upon rotation of the spindle detects at least one unbalance characteristic variable occurring in the measuring direction, and a material removal system for balancing the test object by material removal in a predetermined site. The measuring system and the material removal system are designed such that material can be removed when the test object is held in the spindle.