Abstract: The method and apparatus provide for transversely separating and laterally trimming or finishing continuously passing strips in processing lines for strip material, such as metallic strip. The strip is first severed in transverse direction and immediately thereafter is trimmed at the sides thereof. The time required for adjusting the lateral shears is approximately equal to that of the coil exchange operation leading to the time gained, and stoppages of strip in the operating stages are precluded.