Stress granules are assemblies of untranslating mRNPs that form from mRNAs stalled in translation initiation. Stress granules form through interactions between mRNA binding proteins that link together populations of mRNPs. Interactions promoting stress granule formation include conventional protein-protein interactions, as well as interactions involving intrinsically disordered regions of proteins. Assembly and disassembly of stress granules are modulated by a variety of post-translational modifications as well as a number of ATP dependent RNP or protein remodeling complexes, illustrating that stress granules represent an active liquid wherein energy input maintains their dynamic state. Stress granule formation modulates the stress response, viral infection, and signaling pathways. Persistent or aberrant stress granule formation contributes to neurodegenerative disease and some cancers.