A face driver has a body rotatable about an axis and a head rotationally fixed on the body and formed with a plurality of guides open axially forwardly toward a workpiece and radially offset from the axis. A centering rod axially shiftable in the body on the axis has a front-end point engageable with the face of the workpiece. A compression spring in the body urging the rod axially forward toward the workpiece, a driver disk has a front face engageable with the workpiece and a back face formed with a plurality of rearwardly open and radially extending grooves aligned with the guides. Respective support pins axially shiftable in the guides have heads engaged in the respective grooves so as to rotationally couple the driver disk rotationally to the body while permitting the driverd disk to tip with axial displacement of the pins.