An apparatus for sorting the objects conveyed by a conveyor line, comprising: a conveyor line relative to which the objects are sorted; a plurality of gripping means for picking up the objects, which gripping means operate at the conveyor line and are suitable for picking up, on command, the objects present on the conveyor line and transfer the same onto supports disposed in temporary staying areas selected in order to form stacks of objects homogeneous with each other; lifting and transferring means suitable for automatically lifting single objects or stacks of objects which are resting on the supports in temporary selected staying areas, and transfer the same onto an evacuation line; wherein the lifting and transferring means comprise a lifting device and wherein the lifting device is controlled in translational movement along a direction transverse to the motion direction of the conveyor line; the lifting device is solidly constrained to a carriage, which can be controlled in translation along a direction parallel to the motion direction of the conveyor line, up to the evacuation line; characterised in that: the supports are movable vertically between an upper position, wherein they receive a first object from a stack of objects, and a lower position, wherein they receive a last object from a stack of objects; and in that: the lifting device is provided with a pair of pressers which are configured for tightening a stack of objects therebetween; the pressers are vertically movable between a lower position, in which the pressers can tighten and pick up a stack of objects from the supports, and an upper position, arranged above the supports, in which the pressers lift the stack of objects from the supports. a conveyor line relative to which the objects are sorted; a plurality of gripping means for picking up the objects, which gripping means operate at the conveyor line and are suitable for picking up, on command, the objects present on the conveyor line and transfer the same onto supports disposed in temporary staying areas selected in order to form stacks of objects homogeneous with each other; lifting and transferring means suitable for automatically lifting single objects or stacks of objects which are resting on the supports in temporary selected staying areas, and transfer the same onto an evacuation line; wherein the lifting and transferring means comprise a lifting device and wherein the lifting device is controlled in translational movement along a direction transverse to the motion direction of the conveyor line; the lifting device is solidly constrained to a carriage, which can be controlled in translation along a direction parallel to the motion direction of the conveyor line, up to the evacuation line; characterised in that: the supports are movable vertically between an upper position, wherein they receive a first object from a stack of objects, and a lower position, wherein they receive a last object from a stack of objects; and in that: the lifting device is provided with a pair of pressers which are configured for tightening a stack of objects therebetween; the pressers are vertically movable between a lower position, in which the pressers can tighten and pick up a stack of objects from the supports, and an upper position, arranged above the supports, in which the pressers lift the stack of objects from the supports. the supports are movable vertically between an upper position, wherein they receive a first object from a stack of objects, and a lower position, wherein they receive a last object from a stack of objects; and in that: the lifting device is provided with a pair of pressers which are configured for tightening a stack of objects therebetween; the pressers are vertically movable between a lower position, in which the pressers can tighten and pick up a stack of objects from the supports, and an upper position, arranged above the supports, in which the pressers lift the stack of objects from the supports.