Widespread mRNA decay, an unappreciated feature of apoptosis, enhances cell death and depends on mitochondrial outer membrane permeabilization (MOMP), TUTases, and DIS3L2. Which RNAs are decayed and the decay-initiating event are unknown. Here, we show extensive decay of mRNAs and poly(A) noncoding (nc)RNAs at the 3' end, triggered by the mitochondrial intermembrane space 3'-to-5' exoribonuclease PNPT1, released during MOMP. PNPT1 knockdown inhibits apoptotic RNA decay and reduces apoptosis, while ectopic expression of PNPT1, but not an RNase-deficient mutant, increases RNA decay and cell death. The 3' end of PNPT1 substrates thread through a narrow channel. Many non-poly(A) ncRNAs contain 3'-secondary structures or bind proteins that may block PNPT1 activity. Indeed, mutations that disrupt the 3'-stem-loop of a decay-resistant ncRNA render the transcript susceptible, while adding a 3'-stem-loop to an mRNA prevents its decay. Thus, PNPT1 release from mitochondria during MOMP initiates apoptotic decay of RNAs lacking 3'-structures.