A device for counting turns of a rotating member (8) rotating about an axis with respect to a housing (100), comprising a wheel (6) made from non-metal material rotatably connected to the rotating member and provided locally with at least one eccentric metal mass (7) leaving a part of the wheel uncovered, at least two coils (1, 2) that are separated from each other and fixedly mounted with respect to the housing facing a portion of the trajectory of the metal mass in such a way that at least all of the coils except one are always responsive to said metal mass and that each belong to an inductive circuit (10.1, 10.2) electrically connected to a counting unit (5). A counter incorporating such a device.