The present invention relates to a universal rotation mechanism of a stone surface-refurbishing machine. An axle seat fixed on the bottom of a chassis gear box is nested on an epicyclic rotating shaft, a cut is processed on the axle seat, a floating ball mechanism, an upper circular arc-shaped tray and an epicyclic disk are orderly nested on the bottom of the epicyclic rotating shaft from the top down, wherein, the floating ball mechanism consists of an inner ring, floating balls, a holder and an outer ring, notches in which the floating balls can be placed are arranged on the sidewall of the inner ring which is fixed on the epicyclic rotating shaft, the outer ring fixed on the epicyclic disk is connected with a driving gear set via a bearing, a fixed seat is fixed on the upper part of the outer ring, a free gap is arranged between the fixed seat and the epicyclic rotating shaft, the epicyclic disk is provided with a lower circular arc-shaped tray matching the upper circular arc-shaped tray, and a blocking part matching the cut on the axle seat is arranged on the fixed seat. After the technical scheme is applied, the whole epicyclic disk can moderately float according to the circumstance of the floor, thus effectively reducing the furbishing resistance and the abrasion of a wheelhead.