A depalletizing machine for picking up and moving groups of articles, specifically bundles of blanks, comprising: - a containing structure internally provided with at least one receiving area for a movable magazine containing one or more groups of articles, specifically one or more bundles of blanks; - at least one access opening for allowing the movable magazine to be inserted into the at least one receiving area and for removing the movable magazine from the receiving area; - at least one collection zone configured for receiving a succession of the groups of articles from the at least one movable magazine disposed in the at least one receiving area and for moving the groups of articles towards the outside of the machine and/or towards a processing station; - at least one sensor configured for detecting a position of the movable magazine within the at least one receiving area; - a pickup head movable to an upper portion of the containing structure and configured to pick up groups of articles in succession from the at least one movable magazine disposed in the at least one receiving area and for transferring the groups of articles into the collection zone; - a control unit configured for setting a predetermined law of motion for the pickup head as a function of the at least one information item obtained from the at least one sensor, regarding the position of the movable magazine, wherein the containing structure is internally provided with a plurality of receiving areas for respective movable magazines, the depalletizing machine being characterized by the receiving areas having respective independent access openings and being preferably disposed in sequence along a direction of juxtaposition, and wherein the pickup head is configured to transfer groups of articles from the receiving areas to the collection zone. - a containing structure internally provided with at least one receiving area for a movable magazine containing one or more groups of articles, specifically one or more bundles of blanks; - at least one access opening for allowing the movable magazine to be inserted into the at least one receiving area and for removing the movable magazine from the receiving area; - at least one collection zone configured for receiving a succession of the groups of articles from the at least one movable magazine disposed in the at least one receiving area and for moving the groups of articles towards the outside of the machine and/or towards a processing station; - at least one sensor configured for detecting a position of the movable magazine within the at least one receiving area; - a pickup head movable to an upper portion of the containing structure and configured to pick up groups of articles in succession from the at least one movable magazine disposed in the at least one receiving area and for transferring the groups of articles into the collection zone; - a control unit configured for setting a predetermined law of motion for the pickup head as a function of the at least one information item obtained from the at least one sensor, regarding the position of the movable magazine, wherein the containing structure is internally provided with a plurality of receiving areas for respective movable magazines, the depalletizing machine being characterized by the receiving areas having respective independent access openings and being preferably disposed in sequence along a direction of juxtaposition, and wherein the pickup head is configured to transfer groups of articles from the receiving areas to the collection zone.