A building container outrigger to provide an elevated work space for use between concrete slabs of a building under construction having a container, a plurality of support beams, each support beam positioned lengthwise under the floor of the container and extend therefrom the sides, a pair of spaced apart outrigger beams, a first outrigger end and a second outrigger end, each second outrigger end in contact with and affixed to the upper side of each support beam end, the other outrigger beam end removeably anchored to the slab floor with the front edge of the container flush with the exterior or front slab edge, and, thus, functions to functions to efficiently move materials and tools or personnel space from floor to floor as construction phases move vertically.