A horizontally stacked hemming press includes a horizontally disposed base. A first vertical support is mounted on the base and disposed generally perpendicular to the base. A linear track is mounted on the base. A horizontally disposed die stack including a plurality of cooperably operable die sets are horizontally arranged in series and moveable along the linear track. Each die set includes a pair of vertically disposed die shoes. A guided press platen is horizontally moveable along the linear track. A second vertical support is mounted on the base distal from the first vertical support and disposed generally perpendicular to the base. A drive mechanism is supported by one of the supports and connected to the press platen for opening and closing the die sets. Actuation of the drive mechanism horizontally moves the press platen and thereby horizontally opens one of the die sets.