An in-cell touch panel and a display device, a touch driving method are disclosed. A common electrode layer (120) in an array substrate (100) is partitioned into a plurality of sub-electrodes arranged in an array. Sub-electrodes that are alternately disposed in a respective row of sub-electrodes serve as touch driving sub-electrodes (a) that form a touch driving electrode (121). Sub-electrodes other than the touch driving sub-electrodes serve as common sub-electrodes (b). Touch sensing electrodes (210) with projections within areas where corresponding common sub-electrodes (b) are located are provided on an opposed substrate (200). Upon a line-by-line scanning of gate lines (110) covered by respective rows of sub-electrodes, sub-electrodes in a currently-scanned row are applied with a common electrode signal, touch driving electrodes (121) in rows of sub-electrodes other than the currently-scanned row of sub-electrodes are applied with touch driving signals.