In an embodiment, a chemical mechanical polishing method for a substrate having a first layer and a stepped portion. A surface of the first layer is positioned above an upper face of the stepped portion. A polishing process for selectively removing the stepped portion is performed on the first layer by using a first slurry composition that has a self-stopping characteristic so that the first layer is changed into a second layer having a substantially flat surface. A second polishing process is performed using a second slurry composition that does not have the self-stopping characteristic, until the upper face of the stepped portion is exposed.