The invention relates to a device (100) for loading/unloading stackable cargo units (101) such as boxes (101) from a cargo space, such as a sea container (102). Such a device (100) comprises a movable arm (104) with a head (110), comprising an array with downwardly directed gripping bodies (e.g. suction cups (211)). According to the invention there is a second grip section (220) with which the cargo units (101) can be gripped at the sides thereof. Hereby also cargo units (101) of a top row can be unloaded quickly. The invention also relates to a method for the loading/unloading of a cargo space.