The pseudokinase-endoribonuclease RNase L plays important roles in antiviral innate immunity and is also implicated in many other cellular activities. The inhibition of RNase L showed therapeutic potential for Aicardi-Goutières syndrome (AGS). Thus, RNase L is a promising drug target. In this study, using an enzyme assay and NMR screening, we discovered 13 inhibitory fragments against RNase L. Cocrystal structures of RNase L separately complexed with two different fragments were determined in which both fragments bound to the ATP-binding pocket of the pseudokinase domain. Myricetin, vitexin, and hyperoside, three natural products sharing similar scaffolds with the fragment AC40357, demonstrated a potent inhibitory activity in vitro. In addition, myricetin has a promising cellular inhibitory activity. A cocrystal structure of RNase L with myricetin provided a structural basis for inhibitor design by allosterically modulating the ribonuclease activity. Our findings demonstrate that fragment screening can lead to the discovery of natural product inhibitors of RNase L.