Transcriptional elongation involves dynamic interactions among RNA polymerase and single-stranded and double-stranded nucleic acids in the ternary complex. In prokaryotes its regulation provides an important mechanism of genetic control. Analogous eukaryotic mechanisms are not well understood, but may control expression of proto-oncogenes and viruses, including the human immunodeficiency virus HIV-1 (ref. 8). The highly conserved eukaryotic transcriptional elongation factor TFIIS enables RNA polymerase II (RNAPII) to read though pause or termination sites, nucleosomes and sequence-specific DNA-binding proteins. Two distinct domains of human TFIIS, which bind RNAPII and nucleic acids, regulate read-through and possibly nascent transcript cleavage. Here we describe the three-dimensional NMR structure of a Cys4 nucleic-acid-binding domain from human TFIIS. Unlike previously characterized zinc modules, which contain an alpha-helix, this structure consists of a three-stranded beta-sheet. Analogous Cys4 structural motifs may occur in other proteins involved in DNA or RNA transactions, including RNAPII itself. This new structure, designated the Zn ribbon, extends the repertoire of Zn-mediated peptide architectures and highlights the growing recognition of the beta-sheet as a motif of nucleic-acid recognition.