A concrete finishing apparatus (210", 310, 410) for smoothing and leveling partially set-up concrete at a support surface, said concrete finishing apparatus comprising: a frame portion (214", 314, 414); an inner ring working member (220", 320, 420), disposed at an outer periphery of said frame portion and rotatable about a first axis of rotation, and wherein said first axis of rotation is generally vertical when said inner ring working member is supported at a generally horizontal support surface; an outer ring working member (221", 321, 421) disposed at an outer periphery of said frame portion and generally about a periphery of said inner ring working member, wherein said outer ring working member is rotatable about a second axis of rotation that is generally vertical when said outer ring working member is supported at a generally horizontal support surface; at least one driving device (217", 317, 417) operable to rotatably drive said inner ring working member and said outer ring working member; at least one rotational drive member (228", 328, 428) driven by said driving device (217", 317, 417); wherein said inner ring working member and outer ring working member engage the partially set-up concrete surface at the support surface to process the partially set-up concrete surface; characterised in that said inner ring working member and said outer ring working member both include a vertical wall and wherein said vertical walls are opposed to each other, wherein said driving device rotatably drives one or more of said rotational drive members (228",328,428) to engage said opposed vertical walls of said inner and outer ring working members and rotate said inner and said outer ring working members in opposite directions. a frame portion (214", 314, 414); an inner ring working member (220", 320, 420), disposed at an outer periphery of said frame portion and rotatable about a first axis of rotation, and wherein said first axis of rotation is generally vertical when said inner ring working member is supported at a generally horizontal support surface; an outer ring working member (221", 321, 421) disposed at an outer periphery of said frame portion and generally about a periphery of said inner ring working member, wherein said outer ring working member is rotatable about a second axis of rotation that is generally vertical when said outer ring working member is supported at a generally horizontal support surface; at least one driving device (217", 317, 417) operable to rotatably drive said inner ring working member and said outer ring working member; at least one rotational drive member (228", 328, 428) driven by said driving device (217", 317, 417); wherein said inner ring working member and outer ring working member engage the partially set-up concrete surface at the support surface to process the partially set-up concrete surface; characterised in that said inner ring working member and said outer ring working member both include a vertical wall and wherein said vertical walls are opposed to each other, wherein said driving device rotatably drives one or more of said rotational drive members (228",328,428) to engage said opposed vertical walls of said inner and outer ring working members and rotate said inner and said outer ring working members in opposite directions. <EOS>