A pick-up head for groups of tissue products, comprising: - a support connected or connectable to a robotic arm and comprising a first sliding guide extending between two opposite sides of said support; - a first pair of compacting means, opposite to each other and slidable towards and away from one another along said first sliding guide between an open configuration, wherein each compacting means is positioned at a respective end of said first sliding guide, and a compacting configuration wherein said compacting means are positioned along said first sliding guide in a mutually close position to encircle said group of tissue products; wherein it further comprises: - a plurality of unidirectional chains, wherein the unidirectional chains are positioned outside each compacting means of said first pair, said unidirectional chains being slidable between a disengaging position, wherein said unidirectional chains are positioned vertically relative to said compacting means, and an engaging position wherein said unidirectional chains are at least partially positioned perpendicularly to said compacting means in such a way as to be positioned beneath the group of tissue products defining a cantilever support; - a plurality of guides associated with respective unidirectional chains of said plurality, each guide having a vertical stretch and a horizontal stretch designed to direct the sliding of said unidirectional chains in such a way that, in said engaging position, said chains protrude beyond an end edge of the horizontal stretch of said guide in such a way that said cantilever support is designed to support the bottom of said group of tissue products during a movement of said group of tissue products from one processing station to another when said first pair of compacting means is in the compacting configuration, characterized in that the unidirectional chains have different lengths from each other, wherein at least a first group of unidirectional chains has a length less than at least a second group of unidirectional chains so as to define different extensions in said engaging position under said group of tissue products. - a support connected or connectable to a robotic arm and comprising a first sliding guide extending between two opposite sides of said support; - a first pair of compacting means, opposite to each other and slidable towards and away from one another along said first sliding guide between an open configuration, wherein each compacting means is positioned at a respective end of said first sliding guide, and a compacting configuration wherein said compacting means are positioned along said first sliding guide in a mutually close position to encircle said group of tissue products; - a plurality of unidirectional chains, wherein the unidirectional chains are positioned outside each compacting means of said first pair, said unidirectional chains being slidable between a disengaging position, wherein said unidirectional chains are positioned vertically relative to said compacting means, and an engaging position wherein said unidirectional chains are at least partially positioned perpendicularly to said compacting means in such a way as to be positioned beneath the group of tissue products defining a cantilever support; - a plurality of guides associated with respective unidirectional chains of said plurality, each guide having a vertical stretch and a horizontal stretch designed to direct the sliding of said unidirectional chains in such a way that, in said engaging position, said chains protrude beyond an end edge of the horizontal stretch of said guide in such a way that said cantilever support is designed to support the bottom of said group of tissue products during a movement of said group of tissue products from one processing station to another when said first pair of compacting means is in the compacting configuration,