A depalletiser for egg supports each having empty areas defined between two rows of eggs, comprising: a head movable in space and comprising a plurality of forking elements for an egg support; automatic movement means connected to the head and configured to automatically move it in space; a movement means control unit configured to control the movement of the head in space at least from a first, starting position to a predetermined second position in which the head is positioned near to the support to be depalletised; said forking elements are distributed along a width line and are spaced apart from each other by a predetermined fixed distance equal to or multiple of the distance separating one empty area and the other of a support; image acquisition means mounted on the head for moving with it and which are facing the egg support and configured to: - acquire at least one image of a predetermined side of the support to be depalletised after the head has been positioned in the predetermined second position; - generate an image signal containing the data of the image acquired; - send said image signal to the control unit; said control unit being configured to: - receive the image signal; - process the content so as to identify the empty areas of the predetermined side of the support for insertion of the forking elements of the head; - command the movement means to orient the head with an adjustment orientation moving the head in space and/or inclining it relative to a plane in which the supports lie in such a way as to align the forking elements of the head with the empty areas identified; the control unit being configured to drive the movement means for orienting the head with an adjustment orientation whilst keeping the same distance between each forking element and the next; - move the head oriented with the adjustment orientation towards a third position in which the forking elements of the head are inserted in the empty areas under the support at the predetermined side for transporting said support; characterised in that it comprises a locking device connected to the head and positioned above said head; said locking device being movable between a home position and an operating position in which it locks the support in the third position to hold it stationary in position during a subsequent movement. a head movable in space and comprising a plurality of forking elements for an egg support; automatic movement means connected to the head and configured to automatically move it in space; a movement means control unit configured to control the movement of the head in space at least from a first, starting position to a predetermined second position in which the head is positioned near to the support to be depalletised; said forking elements are distributed along a width line and are spaced apart from each other by a predetermined fixed distance equal to or multiple of the distance separating one empty area and the other of a support; image acquisition means mounted on the head for moving with it and which are facing the egg support and configured to: - acquire at least one image of a predetermined side of the support to be depalletised after the head has been positioned in the predetermined second position; - generate an image signal containing the data of the image acquired; - send said image signal to the control unit; said control unit being configured to: - receive the image signal; - process the content so as to identify the empty areas of the predetermined side of the support for insertion of the forking elements of the head; - command the movement means to orient the head with an adjustment orientation moving the head in space and/or inclining it relative to a plane in which the supports lie in such a way as to align the forking elements of the head with the empty areas identified; the control unit being configured to drive the movement means for orienting the head with an adjustment orientation whilst keeping the same distance between each forking element and the next; - move the head oriented with the adjustment orientation towards a third position in which the forking elements of the head are inserted in the empty areas under the support at the predetermined side for transporting said support; - acquire at least one image of a predetermined side of the support to be depalletised after the head has been positioned in the predetermined second position; - generate an image signal containing the data of the image acquired; - send said image signal to the control unit; - receive the image signal; - process the content so as to identify the empty areas of the predetermined side of the support for insertion of the forking elements of the head; - command the movement means to orient the head with an adjustment orientation moving the head in space and/or inclining it relative to a plane in which the supports lie in such a way as to align the forking elements of the head with the empty areas identified; the control unit being configured to drive the movement means for orienting the head with an adjustment orientation whilst keeping the same distance between each forking element and the next; - move the head oriented with the adjustment orientation towards a third position in which the forking elements of the head are inserted in the empty areas under the support at the predetermined side for transporting said support;