The applicator (1) for applying an oxidative hair dye to human hair, especially to hair strands, has two compartments or chambers (2,3) for a liquid oxidation dye and an oxidizing agent respectively. Both the oxidation dye and the oxidizing agent are dispensed together at a product-dispensing spot or area of the applicator. The compartments (2,3) are provided with respective product-dispensing openings (5,6), which open next to each other, so that a reactive dyeing mixture is provided only outside of the applicator, especially on human hair. For improve applicability liquid-permeable inserts (7,8) made of spongy material, bristles or fabric, especially felt, are provided in the product-dispensing openings (5,6), preferably protruding from them somewhat.