A fluid-dispenser dose counter including two superposed count disks (10, 20). The first disk (10) may be a units disk, and the second disk (20) may be a tens and/or hundreds disk. Each disk (10, 20) is rotatably mounted about an axis of rotation (23, 33), the axes of rotation (23, 33) being parallel to and offset from each other. The counter also includes a cover (30). The cover (30) may define the axis of rotation (33) of the first disk (10) and the axis of rotation (23) of the second disk (20).