The genes for many small eukaryotic RNAs share two significant common features: They are transcribed by the same enzyme, RNA polymerase III, and DNA signals that re essential for accurate transcription initia-tion are found within the genes themselves. Both points have been well established for Xenopus borealis 5S RNA genes (Bogenhagen et al. 1980; Sakonju et al. 1980), for the adenovirus type-2 VAI RNA gene (Fowl