Abstract: A laser-welding apparatus including a pair of clamps at least one of which is movable reciprocally along the steel strip-feed line direction and which are adapted to clamp the edge portions of preceding and trailing steel strips, a shear which is advanceable and retractable between the pair of the clamps in a perpendicular direction to the line and cuts the edge portions of the preceding and trailing steel strips, a device for butting the cut faces of the preceding and trailing steel strips while being clamped by means of the clamps, a device for continuously feeding a filler wire at a weld zone at which the laser beam is condensed, and a laser torch adapted to condense a laser beam from a laser oscillator on an off-line at a weld zone and movable in the width direction of steel strips to be welded together.