Polishing method and polishing apparatus

A polishing method capable of improving a spatial resolution of a film-thickness measurement without changing a measuring cycle of a film-thickness sensor and without increasing an amount of measurement data is disclosed. The polishing method includes: rotating a first film-thickness sensor and a second film-thickness sensor together with a polishing table, the first film-thickness sensor and the second film-thickness sensor being located at the same distance from a center of the polishing table; causing the first film-thickness sensor and the second film-thickness sensor to generate signal values indicating film thicknesses at measurement points on a surface of a substrate, while a polishing head is pressing the substrate against a polishing pad on the rotating polishing table, the measurement points being located at different distances from a center of the substrate; and controlling polishing pressure applied from the polishing head to the substrate based on the signal values generated by the first film-thi