A worldwide interest in timber multi-storey buildings is expected due to the environmental advantages of timber construction when compared to buildings in concrete and steel. Cross-laminated Timber, or CLT, was developed in the early 1990’s and glues and clamps timber planks in alternate layers to form large panels. The cross-laminating ensures reliable strength and stability. CLT construction has been used successfully for the nine storey Murray Grove Stadhaus building in London and the ten storey Forte building in Melbourne. The paper proposes a new type of structural system that utilises CLT for buildings to twenty levels. The floor plan with a central rectangular core and columns at the perimeter is similar to a typical RC commercial building. There are considerably more open spaces than for existing CLT multi-level buildings which rely on multiple shear walls.