A grabber for automatically grabbing and placing packing units of different dimensions and configurations includes a frame with a support, a hold-down device and a stripper attached to the frame. The support supports a bottom portion of a respective packing unit, and is generally horizontally movable with respect to the frame. The hold-down device is downwardly movable toward the support to clamp the respective packing unit between the support and the hold-down device. The stripper is disposed above the support and is generally horizontally movable. The respective packing unit is substantially immobilized by the hold-down device and the stripper as the support is retracted.