A polishing method capable of obtaining a stable film thickness without being affected by a difference in measurement position is disclosed. The polishing method includes: rotating a polishing table that supports a polishing pad; pressing the surface of the wafer against the polishing pad; obtaining a plurality of film-thickness signals from a film thickness sensor during a latest predetermined number of revolutions of the polishing pad, the film thickness sensor being installed in the polishing table; determining a plurality of measured film thicknesses from the plurality of film-thickness signals; determining an estimated film thickness at a topmost portion of the raised portion based on the plurality of measured film thicknesses; and monitoring polishing of the wafer based on the estimated film thickness at the topmost portion of the raised portion.