The fractal theory is used to study characteristics of settlement curves of building basements. Box dimensions of accumulate settlement curves from various measured positions of two buildings are calculated; and relationships between changes of dimensions at the measured positions and changes of final settlements are analyzed. From the calculation and analysis
it is shown that the settlement curves of the building basements have fractal characteristics. The magnitude of the dimensions of the measured position reflects the complex degrees of the settlement processes of the building basements; the changes of the dimension of the measured position and the settlement have the corresponding relation. With this method
the settlements of the building basements are analyzed from a new viewpoint.