Embodiments described here concern a method and an apparatus for the production of a component made of plastic material suitable to be used as the containing body, or casing, of a household appliance, or as a receptacle. The component comprises a first layer and a second layer, which at least partly covers the first layer. Method for the production of a component (10) made of plastic material, suitable to form a containing body, or casing of a household appliance (50), or of a receptacle, comprising: - a first step of injecting a first plastic material into a first molding volume (VI) defined between a punch (29) and a first matrix (30) to make a first layer (11); - a second step of injecting a second plastic material into a second molding volume (V2) defined between said first layer (11) obtained in the first injection step and a second matrix (34), to make a second layer (12), characterized in that it provides to make said second layer (12) having an external surface provided with a three-dimensional finish, comprising an alternation of protruding portions (17) and recessed portions (18) and in that, during the first injection step, it provides to make, on said first layer (11), channels, or filling cavities (19), correlated to the shape and position of said recessed portions (18) of said second layer (12), suitable to compensate for the difference in thickness between said protruding portions (17) and said recessed portions (18), so as to obtain, in said second injection step, a substantially uniform filling flow of said second material.