A grafting pruner includes a first handle and a second handle pivotally connected together, a fixed cutter holder affixed to the first handle, a link affixed to the second handle, a cutter assembly mounted between the fixed cutter holder and the link. A pivot device is inserted through an arched sliding slot of the fixed cutter holder, an axle hole of the link and a longitudinal sliding slot of the cutter blade assembly to secure the fixed cutter blade, the link and the cutter blade assembly together. During relative movement between the first and second handles subject to an external force, the link will be forced by the second handle to move along the arched sliding slot, pushing the cutter blade assembly toward the first handle to cut a living shoot or bud off a plant.