A polishing apparatus 100 includes a holding stage 4 that holds a central portion of a back surface of a substrate W, a motor M1 that rotates the holding stage 4, a front surface nozzle 36 that feeds a rinse liquid to a front surface of the substrate W, a back surface nozzle 37 that feeds the rinse liquid to a back surface of the substrate W, a rinse liquid control section 110 that feeds the rinse liquid through the back surface nozzle 37 after a preset time elapses since the start of feeding of the rinse liquid through the front surface nozzle 36 and a polishing head assembly 1A that polishes a peripheral portion of the substrate installed on the holding stage 4 after the rinse liquid control section 110 feeds the rinse liquid to the substrate W.