A method of construction of partitions (1) including the steps of erecting a structural steel frame from spaced apart frame members (2, 3), the frame members having boxed mounting flanges (4, 6) and being formed from a metal having a relatively high tensile strength, applying at least one layer of sheet material (11) to at least one side of the frame, and securing the layer of sheet material (11) to the frame by means of self-piercing impact fasteners (12). In one preferred form, staples (51) are used to secure cladding sheets (52) to boxed flange frame members for various dry wall constructions. In another preferred embodiment, staples (51) or nails (12) are similarly used to secure layers of sheet material (11, 52) to opposing sides of the frame to define an intermediate cavity which is subsequently filled with cementitious material to form a solid partition.