Abstract: A fine tuning apparatus, for a stringed musical instrument, is constructed with: a base plate adapted to be attached to a body of the stringed musical instrument; a plurality of saddle plates mounted on the base plate; a pivotable saddle mounted on the respective saddle plate and having in its surface a groove for receiving the respective string; a string anchoring member mounted on each saddle plate rearwardly of the saddle, the anchoring member having an arm pivotable toward and away from the base plate and a hook connected to the arm and adapted to catch a ball attached to a rear end of the string, the hook being pivotable longitudinally of the string in response to pivoted movement of the arm; and a first adjusting means mounted on the arm of the anchoring member for adjusting the distance between the arm and the base plate to change the position of the hook and to thereby fine tune the string.