An automatic handling and transport device for printing sleeves that includes a holding support (10) for printing sleeves (60) and a clamping carriage (20) connected to a motorized carriage (30) for a guided movement of the clamping carriage (20) between a gripping position for gripping sleeves (60) and a transport position, and a mobile handling unit (90) carrying the holding support (10). The holding support (10) has an inner core (12) attached to the mobile handling unit (90), and the holding support (10) is coupled to the core (12) or to the mobile handling unit (90) through adaptable support means (40), which provide a relative movement with respect to the core (12) to at least one of the two ends of the holding support (10). The connection of the clamping carriage (20) to the motorized carriage (30) comprises adaptable means (49) that allow a relative movement between the clamping carriage (20) and the motorized carriage (30).