Provided are a slurry composition to be used in chemical mechanical polishing (CMP), and a method for polishing a substrate. This slurry composition contains water, abrasive grains, and an alkylene polyalkylene oxide amine polymer having a solubility parameter in a range of 9-10. A preferred alkylene polyalkylene oxide amine polymer is given by general formula (1). (In general formula (1), m and n are positive integers, and A and R are alkylene oxide groups.)