The invention discloses slitting equipment and a differential slip shaft thereof. The differential slip shaft comprises a spindle, differential slip rings, fixing rings and stroke rod units. The spindle is provided with a gas path. The differential slip rings are provided with ejector blocks. The fixing rings are provided with first pistons and second pistons, wherein the first pistons and the second pistons face opposite directions in the axial direction. The stroke rod units are arranged on the second sides of the differential slip rings, back on the fixing rings, and are provided with pushrods corresponding to the ejector blocks. Elastic pieces are arranged between the stroke rod units and the second sides of the differential slip rings, and accordingly the stroke rod units and the differential slip rings are forced to be kept at the initial positions. The first side of each differential slip ring is directly matched with the first piston of one corresponding fixing ring, and the second side of each differential slip ring is indirectly matched with the second piston of the other corresponding fixing ring. When the gas path is ventilated, the first pistons stretch out, and the friction resistance can be provided for the differential slip rings; and meanwhile, the second pistons stretch out, the stroke rod units can be pushed to axially move, the ejector blocks of the differential slip rings are stressed and outwards stretch out, and corresponding material receiving barrels are tightened through expansion. The slitting equipment and the differential slip shaft thereof canbe applicable to high-speed rolling and are suitable for width rolling.