The invention discloses a handheld grinding machine suitable for special-shaped wood. The grinding machine comprises a support and a grinding wheel set; the grinding wheel set comprises a driving wheel fixedly mounted on the support; at least three grinding wheels are arranged below the driving wheel; rotating shafts of the driving wheel and the plurality of grinding wheels are hinged through connecting rods in sequence, and the connecting rods are supported to form a convex quadrangular structure through a plurality of inner springs; the driving wheel and the plurality of grinding wheels arein linkage rotation through a chain or a belt; and the connecting rods hinged to the driving wheel are also connected with the support through outer springs. According to the scheme, each grinding wheel can move freely to a certain extent while the plurality of grinding wheels rotate to carry out grinding synchronously, so that the machine can well adapt to the curved surfaces of the special-shaped wood, and meanwhile, the grinding machine has the characteristics of being high in efficiency, easy to operate, not prone to damage to the wood and the like.