Gripping head of a handler in a sorting machine, comprising a support frame a plurality of gripping tools (U1-U5), equipped with at least a socket for a control line and first retaining means (200, 202), furthermore comprising a revolver-shaped carrier mounted on said support frame equipped with an engaging body provided with a plurality of first releasable engagement means (29a, 29b, 27) apt to be coupled with said first retaining means (200, 202) of a respective gripping tool of said plurality of gripping tools (U1-U5), said plurality of gripping tools (U1-U5) furthermore having second retaining means, at least a transfer platform, equipped with second releasable engagement means (43, 45) apt to be coupled with said second retaining means, said transfer platform being movably mounted on said support frame along a sliding axis between at least a home position wherein said first retaining means (200, 202) of a selected gripping tool of said plurality of gripping tools (U1-U5) are engaged with said first releasable engagement means (29a, 29b, 27) of said revolver-shaped carrier, an attachment position wherein said second releasable engagement means (43, 45) are coupled with said second retaining means of said selected gripping tool (U1-U5), and an operating position wherein said first retaining means (200, 202) of said selected gripping tool (U1-U5) are uncoupled from said first releasable engagement means (29a, 29b, 27) and said selected gripping tool (U1-U5) is spaced away from said revolver-shaped carrier, and characterised in that said engaging body is rotatably mounted around a selection axis which is perpendicular to said sliding axis. a support frame a plurality of gripping tools (U1-U5), equipped with at least a socket for a control line and first retaining means (200, 202), furthermore comprising a revolver-shaped carrier mounted on said support frame equipped with an engaging body provided with a plurality of first releasable engagement means (29a, 29b, 27) apt to be coupled with said first retaining means (200, 202) of a respective gripping tool of said plurality of gripping tools (U1-U5), said plurality of gripping tools (U1-U5) furthermore having second retaining means, at least a transfer platform, equipped with second releasable engagement means (43, 45) apt to be coupled with said second retaining means, said transfer platform being movably mounted on said support frame along a sliding axis between at least a home position wherein said first retaining means (200, 202) of a selected gripping tool of said plurality of gripping tools (U1-U5) are engaged with said first releasable engagement means (29a, 29b, 27) of said revolver-shaped carrier, an attachment position wherein said second releasable engagement means (43, 45) are coupled with said second retaining means of said selected gripping tool (U1-U5), and an operating position wherein said first retaining means (200, 202) of said selected gripping tool (U1-U5) are uncoupled from said first releasable engagement means (29a, 29b, 27) and said selected gripping tool (U1-U5) is spaced away from said revolver-shaped carrier, and characterised in that said engaging body is rotatably mounted around a selection axis which is perpendicular to said sliding axis.