Methods and means are provided for reducing the phenotypic expression of a nucleic acid of interest in eukaryotic cells, particularly in plant cells, by providing aberrant, preferably unpolyadenylated, target-specific RNA to the nucleus of the host cell. Preferably, the unpolyadenylated target-specific RNA is provided by transcription of a chimeric gene comprising a promoter, a DNA region encoding the target-specific RNA, a self-splicing ribozyme and a DNA region involved in 3' end formation and polyadenylation.