In a building construction method a plurality of building segments are coupled together and raised in unison from a central control point via a crane. The crane has a plurality of lifting cables selectively driven from a plurality of winches under the control of the operator. The building segments are pivotably coupled together for lifting into position and for locking together to form a rigid self supporting building structure. Successive layers of the building are hoisted into position via detachable pulleys affixed to the previously raised building segments.