A wedge levelling system for aligning surface coverings includes a tab with a substantially flat base and a vertical member extending away from a central area of the top surface of the base. The base includes beveled feet portions on opposite sides for insertion under lower surfaces of adjacent surface coverings, with the vertical member extending between the tiles. The vertical member is attached to the base with frangible leg. The vertical member includes an opening spaced so as to be above two adjacent tiles. When a wedge is inserted and held in the opening and presses down, the tiles are pushed downwardly toward a surface upon which they are being laid to properly align the edges thereof until the tiles are set, the wedge removed and the vertical member broken off at the frangible leg portions.