A device for sliding a door on a cabin, comprising a linear guide having a first rail and a second rail; the linear guide is arranged for being mounted on the cabin along an upper face thereof such that the both rails (6a, 6b) are opposite to one another; a further guide having a linear portion which is paralel to the linear guide and an inclined portion which extends transversely to the linear guide, a moving part having a first slide which slidebly runs along the linear guide and a second slide which slidebly runs along the further guide and being displaceble with respect to the first slide from a retracted position to an extracted position or vice versa and being arranged to be connected to the door by means of a connecting element; the first slide comprising two sliding means (51a, 51b) arranged to run on the first rail and the second rail respectively, a space being defined between the two sliding means (51a, 51b) for allowing the second slide to be guided along the further guide, the second slide being displaceble between the sliding means (51a, 51b) from the retracted position to the extracted position or vice versa when it moves along the inclined portion of the further guide, and the first slide being configured such that it is movable along the linear guide when the second slide is in the extracted position, characterised in that the moving part comprises a first damping mechanism for damping the door while being slided in the horizontal direction (y), and the first damping mechanism is arranged to be activated by means of an actuator of the device during sliding; and in that the actuator comprises a base (17.1) and a tongue (17.2) extending downward from the base (17.1), when in use; the first damping mechanism comprises a housing (16.1) where a damper (16.3) associated with a catch (16.2) is located; the tongue (17.2) is arranged to interact with the catch (16.2) to activate the damper (16.3). a linear guide having a first rail and a second rail; the linear guide is arranged for being mounted on the cabin along an upper face thereof such that the both rails (6a, 6b) are opposite to one another; a further guide having a linear portion which is paralel to the linear guide and an inclined portion which extends transversely to the linear guide, a moving part having a first slide which slidebly runs along the linear guide and a second slide which slidebly runs along the further guide and being displaceble with respect to the first slide from a retracted position to an extracted position or vice versa and being arranged to be connected to the door by means of a connecting element; the first slide comprising two sliding means (51a, 51b) arranged to run on the first rail and the second rail respectively, a space being defined between the two sliding means (51a, 51b) for allowing the second slide to be guided along the further guide, the second slide being displaceble between the sliding means (51a, 51b) from the retracted position to the extracted position or vice versa when it moves along the inclined portion of the further guide, and the first slide being configured such that it is movable along the linear guide when the second slide is in the extracted position, characterised in that the moving part comprises a first damping mechanism for damping the door while being slided in the horizontal direction (y), and the first damping mechanism is arranged to be activated by means of an actuator of the device during sliding; and in that the actuator comprises a base (17.1) and a tongue (17.2) extending downward from the base (17.1), when in use; the first damping mechanism comprises a housing (16.1) where a damper (16.3) associated with a catch (16.2) is located; the tongue (17.2) is arranged to interact with the catch (16.2) to activate the damper (16.3).