The twin roll casting machine comprises cooling rolls (1), side weir (2) and molten metal supply nozzle (4) and further comprises baffle (11) connected to an inferior portion of end face of the molten metal supply nozzle (4), the baffle (11) projecting toward the side weir (2) in molten metal reservoir (8), so that the flow (S) of the molten metal toward roll gap (G) is blocked by the baffle (11). Accordingly, any hot molten metal just after being poured would not move along the side weir (2) to immediately reach the roll gap (G), and instead the molten metal cooled by a lapse of time after being poured would accompany the rotation of the cooling rolls (1) to thereby intrude in the roll gap (G). Therefore, any delay of solidified shell generation in the vicinity of an edge portion of the outer circumferential surface of the cooling rolls (1) would be resolved, and strip (3) delivered from the roll gap (G) would not suffer any reduction of the thickness thereof at edge portions in the direction of the width, so that strip (3) having a uniform thickness over the whole width can be obtained.