An applicator for applying a cosmetic make-up or cosmetic care product to the eyelashes and/or the eyebrows, said applicator comprising a rod and an application member at one end of the rod, the application member being produced by molding a material and comprising a non-twisted core extending along a longitudinal axis and application elements carried by the core and arranged in a plurality of helical rows about the longitudinal axis of the core, the application member having at least one helical strip extending over more than half a revolution about the longitudinal axis of the core, which strip is free of application elements and delimited by two consecutive helical rows of application elements extending parallel to each other, the gap between said two consecutive helical rows of application elements being greater than the average gap between the application elements within said helical rows.