The invention relates to a process for dyeing keratin fibres, such as human keratin fibres, and in particular the hair, comprising the application, to said fibres, of: i) a composition comprising one or more dyes chosen from chromene dyes and chromane dyes, ii) a composition comprising one or more zinc mineral salts, compositions i) and ii) being two distinct compositions or forming a single composition, said process excluding any use of a chemical oxidizing agent other than the oxygen in the air, and also to a composition and to the use thereof.