Self-adjusting insulation stripper for single, multiple, and fine stranded conductors with plastic or rubber insulation. Adapts automatically to the respective cable cross-section and prevents damage to the conductor. Cutting depth can be adjusted for different insulation materials. Features a smoothly operating mechanism, easily replaceable stripping blades and clamping jaws, and a low weight. Capacity includes half-moon, square in square millimetres, square drive, step-like square, triangular, and clamping widths for hexagon, round, and square shapes.