A twin roll caster including chilled rolls, side weirs, and a molten-metal delivery nozzle. Baffles, contiguous with bottoms of end faces of the nozzle, project in a casting pool toward the side weirs to suppress stream of the molten metal into a nip between the rolls. Thus, hot molten metal just after poured into the pool does not instantly reach the nip along the side weirs, and molten metal decreases in temperature with lapse of time after the pouring streams into the nip as the rolls are rotated. As a result, belated formation of solidified shells at and adjacent to outer circumferential edges of the chilled rolls is eliminated. Thus, a strip delivered from the nip between the rolls has no reduced thickness at regions adjacent to lateral edges of the strip and has uniform thickness throughout the width of the strip.