A steel-strip production method for producing a hot-dip-plated steel strip and a cold-rolled steel strip, the method being executed by a production apparatus including a continuous annealing furnace, a snout connected to the continuous annealing furnace, a contact-type seal plate device, a noncontact-type seal roll device, a hot-dip-plating tank being movable; and a roll configured to turn the path direction of the steel strip after passing through the snout, wherein a hot-dip-plated steel strip production unit configured to produce the hot-dip-plated steel strip by bringing the steel strip continuously annealed in the continuous annealing furnace into the hot-dip-plating tank; and a cold-rolled steel strip production unit configured to produce the cold-rolled steel strip by transferring the steel strip continuously annealed in the continuous annealing furnace without causing the steel strip to pass through the hot-dip-galvanizing tank, are configured to be switchable with one another.