A method for reducing skin staining during hair colouring, comprising the following steps in sequence; applying a colouring agent to the hair, allowing the colouring agent to act for 30 seconds to 45 minutes, applying an undiluted cleaning agent to skin that can come into contact with the colouring agent when the latter is washed out, jointly washing out the colouring and cleaning agents; wherein the colouring agent contains at least one oxidation dye precursor and/or direct dye and the cleaning agent contains at least one anionic surfactant. Preferably, the pH of the cleaning agent is at least 1.5 units higher than that of the colouring agent. The surfactant may be sodium laureth sulfate. The hair dye may be applied with an applicator, brush, comb etc. Also disclosed is a multicomponent packaging unit, comprising, packaged separately, an aqueous colouring agent containing at least one oxidation dye precursor and/or direct dye and an aqueous cleaning agent containing at least one anionic surfactant; wherein the pH of the cleaning agent differs by at least 1.5 units from that of the colouring agent. The method of the invention minimises skin staining and removes the need to use gloves in the hair dyeing process.