Abstract: A concrete-floor finisher includes a plurality of rotary shafts (28) supported on a supporting plate (2) of a machine proper (1) so as to be tiltable in x and y directions and rotatable opposite to each other, and a plurality of blades (12a to 12d) radially arranged relative to a rotor (10) at the lower part of each of the rotary shafts and respectively held in place by a plurality of fitting members (13), and a rocking supporting unit (14) for the fitting member of each blade is composed of a fixed plate (15) attached to the upper surface of the blade, a holding member (16) attached to the vertical plate portion of the fixed plate, a bearing (18) pivotally supporting substantially the central portion of the holding member (16) by a supporting pin (17) extended in the tangential direction of the circle of rotation, and means for fitting a square cylindrical portion (19) of the bearing onto the forward end of the fitting member and removably fixing in place with a bolt (21) or the like, thus ensuring 20.